151527626560 has 112 divisors (see below), whose sum is σ = 383733080640. Its totient is φ = 56828805120.

The previous prime is 151527626521. The next prime is 151527626561. The reversal of 151527626560 is 65626725151.

It is a super-2 number, since 2×151527626560² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 151527626560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151527626561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461295 + ... + 718225.

It is an arithmetic number, because the mean of its divisors is an integer number (3426188220).

Almost surely, 2^151527626560 is an apocalyptic number.

151527626560 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 151527626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191866540320).

151527626560 is an abundant number, since it is smaller than the sum of its proper divisors (232205454080).

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

151527626560 is a wasteful number, since it uses less digits than its factorization.

151527626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257064 (or 257054 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 151527626560 in words is "one hundred fifty-one billion, five hundred twenty-seven million, six hundred twenty-six thousand, five hundred sixty".