153881713440 has 2304 divisors, whose sum is σ = 733777035264. Its totient is φ = 29561241600.

The previous prime is 153881713439. The next prime is 153881713459. The reversal of 153881713440 is 44317188351.

153881713440 is a `hidden beast` number, since 1 + 5 + 38 + 8 + 171 + 3 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2522651010 + ... + 2522651070.

It is an arithmetic number, because the mean of its divisors is an integer number (318479616).

Almost surely, 2^153881713440 is an apocalyptic number.

153881713440 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 153881713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366888517632).

153881713440 is an abundant number, since it is smaller than the sum of its proper divisors (579895321824).

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

153881713440 is a wasteful number, since it uses less digits than its factorization.

153881713440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 153881713440 in words is "one hundred fifty-three billion, eight hundred eighty-one million, seven hundred thirteen thousand, four hundred forty".