146020073760 has 1920 divisors, whose sum is σ = 640712540160. Its totient is φ = 30904934400.

The previous prime is 146020073669. The next prime is 146020073783. The reversal of 146020073760 is 67370020641.

146020073760 is a `hidden beast` number, since 14 + 602 + 0 + 0 + 7 + 37 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3106810057 + ... + 3106810103.

It is an arithmetic number, because the mean of its divisors is an integer number (333704448).

Almost surely, 2^146020073760 is an apocalyptic number.

146020073760 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 146020073760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320356270080).

146020073760 is an abundant number, since it is smaller than the sum of its proper divisors (494692466400).

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

146020073760 is a wasteful number, since it uses less digits than its factorization.

146020073760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 146020073760 in words is "one hundred forty-six billion, twenty million, seventy-three thousand, seven hundred sixty".