125263152 has 160 divisors (see below), whose sum is σ = 429020160. Its totient is φ = 34214400.

The previous prime is 125263147. The next prime is 125263153. The reversal of 125263152 is 251362521.

It is a happy number.

125263152 is a `hidden beast` number, since 1 + 25 + 2 + 631 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (125263153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68652 + ... + 70452.

It is an arithmetic number, because the mean of its divisors is an integer number (2681376).

Almost surely, 2^125263152 is an apocalyptic number.

125263152 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 125263152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214510080).

125263152 is an abundant number, since it is smaller than the sum of its proper divisors (303757008).

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

125263152 is a wasteful number, since it uses less digits than its factorization.

125263152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1836 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 125263152 is about 11192.1022154017. The cubic root of 125263152 is about 500.3506234023.

The spelling of 125263152 in words is "one hundred twenty-five million, two hundred sixty-three thousand, one hundred fifty-two".