40152000 has 224 divisors, whose sum is σ = 152156160. Its totient is φ = 9139200.

The previous prime is 40151929. The next prime is 40152001. The reversal of 40152000 is 25104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×40152000² = 3224366208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40152001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167881 + ... + 168119.

Almost surely, 2^40152000 is an apocalyptic number.

40152000 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 40152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078080).

40152000 is an abundant number, since it is smaller than the sum of its proper divisors (112004160).

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

40152000 is a wasteful number, since it uses less digits than its factorization.

40152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 40152000 is about 6336.5605812617. The cubic root of 40152000 is about 342.4278356850.

Adding to 40152000 its reverse (25104), we get a palindrome (40177104).

The spelling of 40152000 in words is "forty million, one hundred fifty-two thousand".