146908962720 has 576 divisors, whose sum is σ = 553146257664. Its totient is φ = 35285483520.

The previous prime is 146908962719. The next prime is 146908962793. The reversal of 146908962720 is 27269809641.

146908962720 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 0 + 8 + 9 + 627 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142215324 + ... + 142216356.

It is an arithmetic number, because the mean of its divisors is an integer number (960323364).

Almost surely, 2^146908962720 is an apocalyptic number.

146908962720 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 146908962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276573128832).

146908962720 is an abundant number, since it is smaller than the sum of its proper divisors (406237294944).

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

146908962720 is a wasteful number, since it uses less digits than its factorization.

146908962720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 146908962720 in words is "one hundred forty-six billion, nine hundred eight million, nine hundred sixty-two thousand, seven hundred twenty".