125537040 has 100 divisors (see below), whose sum is σ = 436031244. Its totient is φ = 33474816.

The previous prime is 125537033. The next prime is 125537051. The reversal of 125537040 is 40735521.

It is a happy number.

125537040 is a `hidden beast` number, since 1 + 2 + 553 + 70 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40602384 + 84934656 = 6372^2 + 9216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 125536995 and 125537013.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3207 + ... + 16166.

Almost surely, 2^125537040 is an apocalyptic number.

125537040 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 125537040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218015622).

125537040 is an abundant number, since it is smaller than the sum of its proper divisors (310494204).

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

125537040 is a wasteful number, since it uses less digits than its factorization.

125537040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19398 (or 19383 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 125537040 is about 11204.3313053479. The cubic root of 125537040 is about 500.7150303092.

The spelling of 125537040 in words is "one hundred twenty-five million, five hundred thirty-seven thousand, forty".