125692560 has 400 divisors, whose sum is σ = 531501696. Its totient is φ = 26873856.

The previous prime is 125692559. The next prime is 125692561. The reversal of 125692560 is 65296521.

125692560 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 92 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (125692559) and next prime (125692561).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125692561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 771039 + ... + 771201.

Almost surely, 2^125692560 is an apocalyptic number.

125692560 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 125692560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265750848).

125692560 is an abundant number, since it is smaller than the sum of its proper divisors (405809136).

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

125692560 is a wasteful number, since it uses less digits than its factorization.

125692560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 125692560 is about 11211.2693304550. The cubic root of 125692560 is about 500.9217131789.

It can be divided in two parts, 12569 and 2560, that added together give a square (15129 = 123²).

The spelling of 125692560 in words is "one hundred twenty-five million, six hundred ninety-two thousand, five hundred sixty".