151935201792 has 480 divisors, whose sum is σ = 522274072320. Its totient is φ = 43610296320.

The previous prime is 151935201791. The next prime is 151935201857. The reversal of 151935201792 is 297102539151.

151935201792 is a `hidden beast` number, since 1 + 51 + 9 + 3 + 520 + 1 + 79 + 2 = 666.

It is a super-2 number, since 2×151935201792² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151935201791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26000023 + ... + 26005865.

It is an arithmetic number, because the mean of its divisors is an integer number (1088070984).

Almost surely, 2^151935201792 is an apocalyptic number.

151935201792 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 151935201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261137036160).

151935201792 is an abundant number, since it is smaller than the sum of its proper divisors (370338870528).

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

151935201792 is an equidigital number, since it uses as much as digits as its factorization.

151935201792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 151935201792 in words is "one hundred fifty-one billion, nine hundred thirty-five million, two hundred one thousand, seven hundred ninety-two".