146982021120 has 768 divisors, whose sum is σ = 588736512000. Its totient is φ = 34460467200.

The previous prime is 146982021107. The next prime is 146982021139. The reversal of 146982021120 is 21120289641.

146982021120 is a `hidden beast` number, since 1 + 469 + 82 + 0 + 2 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 94278901 + ... + 94280459.

It is an arithmetic number, because the mean of its divisors is an integer number (766584000).

Almost surely, 2^146982021120 is an apocalyptic number.

146982021120 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 146982021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294368256000).

146982021120 is an abundant number, since it is smaller than the sum of its proper divisors (441754490880).

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

146982021120 is a wasteful number, since it uses less digits than its factorization.

146982021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 146982021120 in words is "one hundred forty-six billion, nine hundred eighty-two million, twenty-one thousand, one hundred twenty".