125564997645 has 192 divisors, whose sum is σ = 240724224000. Its totient is φ = 60365813760.

The previous prime is 125564997619. The next prime is 125564997671. The reversal of 125564997645 is 546799465521.

125564997645 is a `hidden beast` number, since 1 + 2 + 5 + 564 + 9 + 9 + 7 + 64 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (125564997619) and next prime (125564997671).

It is not a de Polignac number, because 125564997645 - 2⁹ = 125564997133 is a prime.

It is a super-3 number, since 3×125564997645³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223028134 + ... + 223028696.

It is an arithmetic number, because the mean of its divisors is an integer number (1253772000).

Almost surely, 2^125564997645 is an apocalyptic number.

125564997645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125564997645 is a deficient number, since it is larger than the sum of its proper divisors (115159226355).

125564997645 is a wasteful number, since it uses less digits than its factorization.

125564997645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 817 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 125564997645 in words is "one hundred twenty-five billion, five hundred sixty-four million, nine hundred ninety-seven thousand, six hundred forty-five".