125927820 has 72 divisors (see below), whose sum is σ = 402096240. Its totient is φ = 31812480.

The previous prime is 125927807. The next prime is 125927821. The reversal of 125927820 is 28729521.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (125927821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14991 + ... + 21830.

It is an arithmetic number, because the mean of its divisors is an integer number (5584670).

Almost surely, 2^125927820 is an apocalyptic number.

125927820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125927820 is an abundant number, since it is smaller than the sum of its proper divisors (276168420).

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

125927820 is a wasteful number, since it uses less digits than its factorization.

125927820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36855 (or 36850 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 125927820 is about 11221.7565469939. The cubic root of 125927820 is about 501.2340450930.

The spelling of 125927820 in words is "one hundred twenty-five million, nine hundred twenty-seven thousand, eight hundred twenty".