125636940 has 192 divisors, whose sum is σ = 459486720. Its totient is φ = 28097280.

The previous prime is 125636923. The next prime is 125636963. The reversal of 125636940 is 49636521.

It is a happy number.

125636940 is a `hidden beast` number, since 1 + 2 + 563 + 6 + 94 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 125636895 and 125636904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76407 + ... + 78033.

It is an arithmetic number, because the mean of its divisors is an integer number (2393160).

Almost surely, 2^125636940 is an apocalyptic number.

125636940 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 125636940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229743360).

125636940 is an abundant number, since it is smaller than the sum of its proper divisors (333849780).

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

125636940 is a wasteful number, since it uses less digits than its factorization.

125636940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 125636940 is about 11208.7885161600. The cubic root of 125636940 is about 500.8478149405.

It can be divided in two parts, 12563 and 6940, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 125636940 in words is "one hundred twenty-five million, six hundred thirty-six thousand, nine hundred forty".