45162000 has 240 divisors, whose sum is σ = 170749488. Its totient is φ = 11059200.

The previous prime is 45161999. The next prime is 45162001. The reversal of 45162000 is 26154.

It is a happy number.

45162000 is a `hidden beast` number, since 45 + 1 + 620 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45161999) and next prime (45162001).

It can be written as a sum of positive squares in 8 ways, for example, as 29289744 + 15872256 = 5412^2 + 3984^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45162001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233904 + ... + 234096.

Almost surely, 2^45162000 is an apocalyptic number.

45162000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85374744).

45162000 is an abundant number, since it is smaller than the sum of its proper divisors (125587488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45162000 is a wasteful number, since it uses less digits than its factorization.

45162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 45162000 is about 6720.2678518047. The cubic root of 45162000 is about 356.1156464748.

Adding to 45162000 its reverse (26154), we get a palindrome (45188154).

It can be divided in two parts, 45 and 162000, that multiplied together give a square (7290000 = 2700²).

The spelling of 45162000 in words is "forty-five million, one hundred sixty-two thousand".