125601840 has 480 divisors, whose sum is σ = 545965056. Its totient is φ = 26127360.

The previous prime is 125601823. The next prime is 125601887. The reversal of 125601840 is 48106521.

125601840 is a `hidden beast` number, since 12 + 5 + 601 + 8 + 40 = 666.

It is a super-2 number, since 2×125601840² = 31551644422771200, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1769005 + ... + 1769075.

Almost surely, 2^125601840 is an apocalyptic number.

125601840 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 125601840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982528).

125601840 is an abundant number, since it is smaller than the sum of its proper divisors (420363216).

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

125601840 is a wasteful number, since it uses less digits than its factorization.

125601840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 125601840 is about 11207.2226711171. Note that the first 3 decimals coincide. The cubic root of 125601840 is about 500.8011689044.

It can be divided in two parts, 12560 and 1840, that added together give a square (14400 = 120²).

The spelling of 125601840 in words is "one hundred twenty-five million, six hundred one thousand, eight hundred forty".