125623008 has 96 divisors (see below), whose sum is σ = 418763520. Its totient is φ = 35890560.

The previous prime is 125623007. The next prime is 125623027. The reversal of 125623008 is 800326521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×125623008² = 31562280277936128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125623007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4338 + ... + 16433.

It is an arithmetic number, because the mean of its divisors is an integer number (4362120).

Almost surely, 2^125623008 is an apocalyptic number.

125623008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125623008 is an abundant number, since it is smaller than the sum of its proper divisors (293140512).

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

125623008 is a wasteful number, since it uses less digits than its factorization.

125623008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20797 (or 20783 counting only the distinct ones).

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

The square root of 125623008 is about 11208.1670223101. The cubic root of 125623008 is about 500.8293010923.

Adding to 125623008 its reverse (800326521), we get a palindrome (925949529).

The spelling of 125623008 in words is "one hundred twenty-five million, six hundred twenty-three thousand, eight".