146520187520 has 256 divisors, whose sum is σ = 431871264000. Its totient is φ = 46387101696.

The previous prime is 146520187519. The next prime is 146520187543. The reversal of 146520187520 is 25781025641.

146520187520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4018331 + ... + 4054629.

It is an arithmetic number, because the mean of its divisors is an integer number (1686997125).

Almost surely, 2^146520187520 is an apocalyptic number.

146520187520 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 146520187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215935632000).

146520187520 is an abundant number, since it is smaller than the sum of its proper divisors (285351076480).

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

146520187520 is a wasteful number, since it uses less digits than its factorization.

146520187520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36395 (or 36383 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The spelling of 146520187520 in words is "one hundred forty-six billion, five hundred twenty million, one hundred eighty-seven thousand, five hundred twenty".