152555040 has 144 divisors (see below), whose sum is σ = 567979776. Its totient is φ = 36979200.

The previous prime is 152555023. The next prime is 152555057. The reversal of 152555040 is 40555251.

152555040 is a `hidden beast` number, since 152 + 5 + 5 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (152555023) and next prime (152555057).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 152554995 and 152555013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11025 + ... + 20655.

It is an arithmetic number, because the mean of its divisors is an integer number (3944304).

Almost surely, 2^152555040 is an apocalyptic number.

152555040 is a gapful number since it is divisible by the number (10) 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 152555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283989888).

152555040 is an abundant number, since it is smaller than the sum of its proper divisors (415424736).

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

152555040 is a wasteful number, since it uses less digits than its factorization.

152555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9663 (or 9652 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 152555040 is about 12351.3173386485. The cubic root of 152555040 is about 534.3291326180.

It can be divided in two parts, 1525 and 55040, that added together give a palindrome (56565).

The spelling of 152555040 in words is "one hundred fifty-two million, five hundred fifty-five thousand, forty".