125653536 has 72 divisors (see below), whose sum is σ = 376150320. Its totient is φ = 39678336.

The previous prime is 125653501. The next prime is 125653547. The reversal of 125653536 is 635356521.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×125653536² = 31577622218606592, which contains 22 as substring.

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 125653536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6010 + ... + 16953.

It is an arithmetic number, because the mean of its divisors is an integer number (5224310).

Almost surely, 2^125653536 is an apocalyptic number.

125653536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125653536 is an abundant number, since it is smaller than the sum of its proper divisors (250496784).

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

125653536 is a wasteful number, since it uses less digits than its factorization.

125653536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22998 (or 22987 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 125653536 is about 11209.5288036563. The cubic root of 125653536 is about 500.8698671181.

The spelling of 125653536 in words is "one hundred twenty-five million, six hundred fifty-three thousand, five hundred thirty-six".