45159120 has 240 divisors, whose sum is σ = 165739392. Its totient is φ = 11404800.

The previous prime is 45159113. The next prime is 45159197. The reversal of 45159120 is 2195154.

45159120 is a `hidden beast` number, since 4 + 51 + 591 + 20 = 666.

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

It is a super-2 number, since 2×45159120² = 4078692238348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447070 + ... + 447170.

Almost surely, 2^45159120 is an apocalyptic number.

45159120 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 45159120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82869696).

45159120 is an abundant number, since it is smaller than the sum of its proper divisors (120580272).

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

45159120 is a wasteful number, since it uses less digits than its factorization.

45159120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 45159120 is about 6720.0535712150. The cubic root of 45159120 is about 356.1080764317.

The spelling of 45159120 in words is "forty-five million, one hundred fifty-nine thousand, one hundred twenty".