145001375179920 has 400 divisors, whose sum is σ = 582490144494720. Its totient is φ = 32743855300608.

The previous prime is 145001375179867. The next prime is 145001375179939. The reversal of 145001375179920 is 29971573100541.

145001375179920 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 0 + 1 + 37 + 517 + 9 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15492225 + ... + 23021984.

Almost surely, 2^{145001375179920} is an apocalyptic number.

145001375179920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145001375179920 is an abundant number, since it is smaller than the sum of its proper divisors (437488769314800).

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

145001375179920 is a wasteful number, since it uses less digits than its factorization.

145001375179920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38514324 (or 38514309 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 145001375179920 in words is "one hundred forty-five trillion, one billion, three hundred seventy-five million, one hundred seventy-nine thousand, nine hundred twenty".