152257397760 has 880 divisors, whose sum is σ = 607193782272. Its totient is φ = 36229939200.

The previous prime is 152257397737. The next prime is 152257397767. The reversal of 152257397760 is 67793752251.

152257397760 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 573 + 9 + 7 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 152257397697 and 152257397706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152257397767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 167131705 + ... + 167132615.

Almost surely, 2^152257397760 is an apocalyptic number.

152257397760 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 152257397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303596891136).

152257397760 is an abundant number, since it is smaller than the sum of its proper divisors (454936384512).

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

152257397760 is a wasteful number, since it uses less digits than its factorization.

152257397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 152257397760 in words is "one hundred fifty-two billion, two hundred fifty-seven million, three hundred ninety-seven thousand, seven hundred sixty".