125614564152 has 128 divisors (see below), whose sum is σ = 393555663360. Its totient is φ = 32458014720.

The previous prime is 125614564139. The next prime is 125614564183. The reversal of 125614564152 is 251465416521.

It is a happy number.

It is a super-3 number, since 3×125614564152³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180568 + ... + 532760.

It is an arithmetic number, because the mean of its divisors is an integer number (3074653620).

Almost surely, 2^125614564152 is an apocalyptic number.

125614564152 is a gapful number since it is divisible by the number (12) 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 125614564152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196777831680).

125614564152 is an abundant number, since it is smaller than the sum of its proper divisors (267941099208).

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

125614564152 is a wasteful number, since it uses less digits than its factorization.

125614564152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352413 (or 352409 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The spelling of 125614564152 in words is "one hundred twenty-five billion, six hundred fourteen million, five hundred sixty-four thousand, one hundred fifty-two".