146920122960 has 240 divisors, whose sum is σ = 494038968768. Its totient is φ = 36102144000.

The previous prime is 146920122901. The next prime is 146920123013. The reversal of 146920122960 is 69221029641.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25996135 + ... + 26001785.

Almost surely, 2^146920122960 is an apocalyptic number.

146920122960 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 146920122960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247019484384).

146920122960 is an abundant number, since it is smaller than the sum of its proper divisors (347118845808).

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

146920122960 is a wasteful number, since it uses less digits than its factorization.

146920122960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 146920122960 in words is "one hundred forty-six billion, nine hundred twenty million, one hundred twenty-two thousand, nine hundred sixty".