146582677920 has 384 divisors, whose sum is σ = 541180362240. Its totient is φ = 32658554880.

The previous prime is 146582677867. The next prime is 146582677961. The reversal of 146582677920 is 29776285641.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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, 23157316 + ... + 23163644.

It is an arithmetic number, because the mean of its divisors is an integer number (1409323860).

Almost surely, 2^146582677920 is an apocalyptic number.

146582677920 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 146582677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270590181120).

146582677920 is an abundant number, since it is smaller than the sum of its proper divisors (394597684320).

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

146582677920 is a wasteful number, since it uses less digits than its factorization.

146582677920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6528 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 146582677920 in words is "one hundred forty-six billion, five hundred eighty-two million, six hundred seventy-seven thousand, nine hundred twenty".