151503469948440 has 160 divisors (see below), whose sum is σ = 509237772626880. Its totient is φ = 40399514961408.

The previous prime is 151503469948427. The next prime is 151503469948549. The reversal of 151503469948440 is 44849964305151.

151503469948440 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 0 + 3 + 469 + 94 + 84 + 4 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 93699484 + ... + 95302676.

It is an arithmetic number, because the mean of its divisors is an integer number (3182736078918).

Almost surely, 2^{151503469948440} is an apocalyptic number.

151503469948440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151503469948440 is an abundant number, since it is smaller than the sum of its proper divisors (357734302678440).

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

151503469948440 is a wasteful number, since it uses less digits than its factorization.

151503469948440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632383 (or 1632370 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 151503469948440 in words is "one hundred fifty-one trillion, five hundred three billion, four hundred sixty-nine million, nine hundred forty-eight thousand, four hundred forty".