146625920 has 128 divisors (see below), whose sum is σ = 418314240. Its totient is φ = 48052224.

The previous prime is 146625847. The next prime is 146625923. The reversal of 146625920 is 29526641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146625923) 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, 102329 + ... + 103751.

It is an arithmetic number, because the mean of its divisors is an integer number (3268080).

Almost surely, 2^146625920 is an apocalyptic number.

146625920 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 146625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209157120).

146625920 is an abundant number, since it is smaller than the sum of its proper divisors (271688320).

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

146625920 is a wasteful number, since it uses less digits than its factorization.

146625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 146625920 is about 12108.9190268991. The cubic root of 146625920 is about 527.3151512725.

The spelling of 146625920 in words is "one hundred forty-six million, six hundred twenty-five thousand, nine hundred twenty".