151733624660112 has 640 divisors, whose sum is σ = 458601705897984. Its totient is φ = 42796615680000.

The previous prime is 151733624660087. The next prime is 151733624660119. The reversal of 151733624660112 is 211066426337151.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (151733624660119) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58516629888 + ... + 58516632480.

Almost surely, 2^{151733624660112} is an apocalyptic number.

151733624660112 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 151733624660112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229300852948992).

151733624660112 is an abundant number, since it is smaller than the sum of its proper divisors (306868081237872).

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

151733624660112 is a wasteful number, since it uses less digits than its factorization.

151733624660112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 151733624660112 in words is "one hundred fifty-one trillion, seven hundred thirty-three billion, six hundred twenty-four million, six hundred sixty thousand, one hundred twelve".