125292096 has 70 divisors (see below), whose sum is σ = 371420390. Its totient is φ = 41762304.

The previous prime is 125292059. The next prime is 125292107. The reversal of 125292096 is 690292521.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 124545600 + 746496 = 11160^2 + 864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125292096.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6901 + ... + 17268.

Almost surely, 2^125292096 is an apocalyptic number.

125292096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125292096 is an abundant number, since it is smaller than the sum of its proper divisors (246128294).

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

125292096 is an equidigital number, since it uses as much as digits as its factorization.

125292096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24193 (or 24174 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 125292096 is about 11193.3951953820. The cubic root of 125292096 is about 500.3891583663.

The spelling of 125292096 in words is "one hundred twenty-five million, two hundred ninety-two thousand, ninety-six".