151101624960 has 1920 divisors, whose sum is σ = 682529878800. Its totient is φ = 31531991040.

The previous prime is 151101624917. The next prime is 151101624979. The reversal of 151101624960 is 69426101151.

151101624960 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 0 + 162 + 496 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 72938885184 + 78162739776 = 270072^2 + 279576^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1386253386 + ... + 1386253494.

Almost surely, 2^151101624960 is an apocalyptic number.

151101624960 is a gapful number since it is divisible by the number (10) 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 151101624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341264939400).

151101624960 is an abundant number, since it is smaller than the sum of its proper divisors (531428253840).

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

151101624960 is a wasteful number, since it uses less digits than its factorization.

151101624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 151101624960 in words is "one hundred fifty-one billion, one hundred one million, six hundred twenty-four thousand, nine hundred sixty".