153927142992 has 160 divisors (see below), whose sum is σ = 511338700800. Its totient is φ = 43422417792.

The previous prime is 153927142981. The next prime is 153927143009. The reversal of 153927142992 is 299241729351.

It is a happy number.

153927142992 is a `hidden beast` number, since 1 + 539 + 2 + 7 + 14 + 2 + 9 + 92 = 666.

153927142992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153927142992² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83268 + ... + 561059.

It is an arithmetic number, because the mean of its divisors is an integer number (3195866880).

Almost surely, 2^153927142992 is an apocalyptic number.

153927142992 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 153927142992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255669350400).

153927142992 is an abundant number, since it is smaller than the sum of its proper divisors (357411557808).

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

153927142992 is a wasteful number, since it uses less digits than its factorization.

153927142992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644430 (or 644418 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 153927142992 in words is "one hundred fifty-three billion, nine hundred twenty-seven million, one hundred forty-two thousand, nine hundred ninety-two".