125693680 has 80 divisors (see below), whose sum is σ = 335424960. Its totient is φ = 42909696.

The previous prime is 125693671. The next prime is 125693693. The reversal of 125693680 is 86396521.

125693680 = 148² + 149² + ... + 724².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217552 + ... + 218128.

It is an arithmetic number, because the mean of its divisors is an integer number (4192812).

Almost surely, 2^125693680 is an apocalyptic number.

125693680 is a gapful number since it is divisible by the number (10) 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 125693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167712480).

125693680 is an abundant number, since it is smaller than the sum of its proper divisors (209731280).

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

125693680 is a wasteful number, since it uses less digits than its factorization.

125693680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 125693680 is about 11211.3192800847. The cubic root of 125693680 is about 500.9232010173.

The spelling of 125693680 in words is "one hundred twenty-five million, six hundred ninety-three thousand, six hundred eighty".