151970841792 has 560 divisors, whose sum is σ = 586103772672. Its totient is φ = 37754449920.

The previous prime is 151970841749. The next prime is 151970841797. The reversal of 151970841792 is 297148079151.

151970841792 is a `hidden beast` number, since 1 + 51 + 97 + 0 + 8 + 417 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (151970841797) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 9172588 + ... + 9189140.

Almost surely, 2^151970841792 is an apocalyptic number.

151970841792 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 151970841792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293051886336).

151970841792 is an abundant number, since it is smaller than the sum of its proper divisors (434132930880).

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

151970841792 is a wasteful number, since it uses less digits than its factorization.

151970841792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16618 (or 16599 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 151970841792 in words is "one hundred fifty-one billion, nine hundred seventy million, eight hundred forty-one thousand, seven hundred ninety-two".