152525245488 has 640 divisors, whose sum is σ = 536879923200. Its totient is φ = 36858286080.

The previous prime is 152525245459. The next prime is 152525245489. The reversal of 152525245488 is 884542525251.

It is a super-2 number, since 2×152525245488² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 152525245488.

It is not an unprimeable number, because it can be changed into a prime (152525245489) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 329427945 + ... + 329428407.

It is an arithmetic number, because the mean of its divisors is an integer number (838874880).

Almost surely, 2^152525245488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152525245488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268439961600).

152525245488 is an abundant number, since it is smaller than the sum of its proper divisors (384354677712).

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

152525245488 is a wasteful number, since it uses less digits than its factorization.

152525245488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 610 counting only the distinct ones).

The product of its digits is 5120000, while the sum is 51.

The spelling of 152525245488 in words is "one hundred fifty-two billion, five hundred twenty-five million, two hundred forty-five thousand, four hundred eighty-eight".