125342640 has 300 divisors, whose sum is σ = 470465424. Its totient is φ = 30868992.

The previous prime is 125342627. The next prime is 125342647. The reversal of 125342640 is 46243521.

125342640 is a `hidden beast` number, since 12 + 5 + 3 + 4 + 2 + 640 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125342647) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4322146 + ... + 4322174.

Almost surely, 2^125342640 is an apocalyptic number.

125342640 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 125342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235232712).

125342640 is an abundant number, since it is smaller than the sum of its proper divisors (345122784).

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

125342640 is a wasteful number, since it uses less digits than its factorization.

125342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 125342640 is about 11195.6527277332. The cubic root of 125342640 is about 500.4564365379.

The spelling of 125342640 in words is "one hundred twenty-five million, three hundred forty-two thousand, six hundred forty".