151773974352 has 720 divisors, whose sum is σ = 583500153600. Its totient is φ = 36200908800.

The previous prime is 151773974267. The next prime is 151773974377. The reversal of 151773974352 is 253479377151.

151773974352 is a `hidden beast` number, since 1 + 5 + 177 + 39 + 7 + 435 + 2 = 666.

151773974352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 352143577 + ... + 352144007.

It is an arithmetic number, because the mean of its divisors is an integer number (810416880).

Almost surely, 2^151773974352 is an apocalyptic number.

151773974352 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 151773974352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291750076800).

151773974352 is an abundant number, since it is smaller than the sum of its proper divisors (431726179248).

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

151773974352 is a wasteful number, since it uses less digits than its factorization.

151773974352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 816 counting only the distinct ones).

The product of its digits is 5556600, while the sum is 54.

The spelling of 151773974352 in words is "one hundred fifty-one billion, seven hundred seventy-three million, nine hundred seventy-four thousand, three hundred fifty-two".