151634639952 has 240 divisors, whose sum is σ = 458041933440. Its totient is φ = 48503702016.

The previous prime is 151634639921. The next prime is 151634639963. The reversal of 151634639952 is 259936436151.

151634639952 is a `hidden beast` number, since 1 + 5 + 163 + 46 + 399 + 52 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18825558 + ... + 18833610.

It is an arithmetic number, because the mean of its divisors is an integer number (1908508056).

Almost surely, 2^151634639952 is an apocalyptic number.

151634639952 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 151634639952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229020966720).

151634639952 is an abundant number, since it is smaller than the sum of its proper divisors (306407293488).

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

151634639952 is a wasteful number, since it uses less digits than its factorization.

151634639952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272 (or 8254 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 151634639952 in words is "one hundred fifty-one billion, six hundred thirty-four million, six hundred thirty-nine thousand, nine hundred fifty-two".