153914971392 has 1296 divisors, whose sum is σ = 608277720960. Its totient is φ = 37730893824.

The previous prime is 153914971369. The next prime is 153914971447. The reversal of 153914971392 is 293179419351.

153914971392 is a `hidden beast` number, since 1 + 53 + 9 + 1 + 497 + 13 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2904056038 + ... + 2904056090.

Almost surely, 2^153914971392 is an apocalyptic number.

153914971392 is a gapful number since it is divisible by the number (12) 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 153914971392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304138860480).

153914971392 is an abundant number, since it is smaller than the sum of its proper divisors (454362749568).

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

153914971392 is an frugal number, since it uses more digits than its factorization.

153914971392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The spelling of 153914971392 in words is "one hundred fifty-three billion, nine hundred fourteen million, nine hundred seventy-one thousand, three hundred ninety-two".