146117401520 has 80 divisors (see below), whose sum is σ = 353684699040. Its totient is φ = 56088225792.

The previous prime is 146117401517. The next prime is 146117401609. The reversal of 146117401520 is 25104711641.

It is a tau number, because it is divible by the number of its divisors (80).

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, 122030 + ... + 554189.

It is an arithmetic number, because the mean of its divisors is an integer number (4421058738).

Almost surely, 2^146117401520 is an apocalyptic number.

146117401520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146117401520 is an abundant number, since it is smaller than the sum of its proper divisors (207567297520).

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

146117401520 is a wasteful number, since it uses less digits than its factorization.

146117401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676342 (or 676336 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 146117401520 in words is "one hundred forty-six billion, one hundred seventeen million, four hundred one thousand, five hundred twenty".