146982313440 has 144 divisors (see below), whose sum is σ = 501830417088. Its totient is φ = 39175492608.

The previous prime is 146982313417. The next prime is 146982313493. The reversal of 146982313440 is 44313289641.

146982313440 is a `hidden beast` number, since 14 + 69 + 8 + 231 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2945982 + ... + 2995458.

It is an arithmetic number, because the mean of its divisors is an integer number (3484933452).

Almost surely, 2^146982313440 is an apocalyptic number.

146982313440 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 146982313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250915208544).

146982313440 is an abundant number, since it is smaller than the sum of its proper divisors (354848103648).

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

146982313440 is a wasteful number, since it uses less digits than its factorization.

146982313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51561 (or 51550 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 146982313440 in words is "one hundred forty-six billion, nine hundred eighty-two million, three hundred thirteen thousand, four hundred forty".