152756560000 has 320 divisors, whose sum is σ = 439294505760. Its totient is φ = 52275200000.

The previous prime is 152756559997. The next prime is 152756560003. The reversal of 152756560000 is 65657251.

It is an interprime number because it is at equal distance from previous prime (152756559997) and next prime (152756560003).

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (152756560003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14954895 + ... + 14965105.

Almost surely, 2^152756560000 is an apocalyptic number.

152756560000 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 152756560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219647252880).

152756560000 is an abundant number, since it is smaller than the sum of its proper divisors (286537945760).

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

152756560000 is a wasteful number, since it uses less digits than its factorization.

152756560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10273 (or 10246 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The spelling of 152756560000 in words is "one hundred fifty-two billion, seven hundred fifty-six million, five hundred sixty thousand".