151214506947504 has 1600 divisors, whose sum is σ = 629695726894080. Its totient is φ = 33711042723840.

The previous prime is 151214506947473. The next prime is 151214506947527. The reversal of 151214506947504 is 405749605412151.

151214506947504 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 1 + 45 + 0 + 6 + 94 + 7 + 504 = 666.

It is a super-2 number, since 2×151214506947504² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1830443352 + ... + 1830525960.

Almost surely, 2^{151214506947504} is an apocalyptic number.

151214506947504 is a gapful number since it is divisible by the number (14) 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 151214506947504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314847863447040).

151214506947504 is an abundant number, since it is smaller than the sum of its proper divisors (478481219946576).

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

151214506947504 is a wasteful number, since it uses less digits than its factorization.

151214506947504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82760 (or 82745 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 151214506947504 in words is "one hundred fifty-one trillion, two hundred fourteen billion, five hundred six million, nine hundred forty-seven thousand, five hundred four".