146742120577656 has 256 divisors, whose sum is σ = 419862085632000. Its totient is φ = 47463022051200.

The previous prime is 146742120577649. The next prime is 146742120577669. The reversal of 146742120577656 is 656775021247641.

146742120577656 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 4 + 2 + 1 + 2 + 0 + 577 + 6 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 146742120577593 and 146742120577602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1870740885 + ... + 1870819323.

It is an arithmetic number, because the mean of its divisors is an integer number (1640086272000).

Almost surely, 2^{146742120577656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146742120577656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209931042816000).

146742120577656 is an abundant number, since it is smaller than the sum of its proper divisors (273119965054344).

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

146742120577656 is a wasteful number, since it uses less digits than its factorization.

146742120577656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80079 (or 80069 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 146742120577656 in words is "one hundred forty-six trillion, seven hundred forty-two billion, one hundred twenty million, five hundred seventy-seven thousand, six hundred fifty-six".