125261640 has 288 divisors, whose sum is σ = 492972480. Its totient is φ = 28522368.

The previous prime is 125261621. The next prime is 125261663. The reversal of 125261640 is 46162521.

125261640 = T₁₂₆ + T₁₂₇ + ... + T₉₀₉.

125261640 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 616 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 476149 + ... + 476411.

It is an arithmetic number, because the mean of its divisors is an integer number (1711710).

Almost surely, 2^125261640 is an apocalyptic number.

125261640 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 125261640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246486240).

125261640 is an abundant number, since it is smaller than the sum of its proper divisors (367710840).

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

125261640 is a wasteful number, since it uses less digits than its factorization.

125261640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125261640 is about 11192.0346675660. The cubic root of 125261640 is about 500.3486102187.

The spelling of 125261640 in words is "one hundred twenty-five million, two hundred sixty-one thousand, six hundred forty".