146533951056 has 80 divisors (see below), whose sum is σ = 393089304960. Its totient is φ = 46980917760.

The previous prime is 146533951007. The next prime is 146533951141. The reversal of 146533951056 is 650159335641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 146533950996 and 146533951014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165966 + ... + 566226.

It is an arithmetic number, because the mean of its divisors is an integer number (4913616312).

Almost surely, 2^146533951056 is an apocalyptic number.

146533951056 is a gapful number since it is divisible by the number (16) 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 146533951056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196544652480).

146533951056 is an abundant number, since it is smaller than the sum of its proper divisors (246555353904).

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

146533951056 is a wasteful number, since it uses less digits than its factorization.

146533951056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400564 (or 400558 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 48.

The spelling of 146533951056 in words is "one hundred forty-six billion, five hundred thirty-three million, nine hundred fifty-one thousand, fifty-six".