146857920 has 112 divisors (see below), whose sum is σ = 508699008. Its totient is φ = 35599360.

The previous prime is 146857913. The next prime is 146857937. The reversal of 146857920 is 29758641.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3607 + ... + 17513.

Almost surely, 2^146857920 is an apocalyptic number.

146857920 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 146857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254349504).

146857920 is an abundant number, since it is smaller than the sum of its proper divisors (361841088).

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

146857920 is a wasteful number, since it uses less digits than its factorization.

146857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13938 (or 13928 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 146857920 is about 12118.4949560579. The cubic root of 146857920 is about 527.5931208811.

The spelling of 146857920 in words is "one hundred forty-six million, eight hundred fifty-seven thousand, nine hundred twenty".