151074937728 has 1280 divisors, whose sum is σ = 577250150400. Its totient is φ = 38519193600.

The previous prime is 151074937711. The next prime is 151074937801. The reversal of 151074937728 is 827739470151.

151074937728 is a `hidden beast` number, since 1 + 510 + 74 + 9 + 37 + 7 + 28 = 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 159 ways as a sum of consecutive naturals, for example, 873265450 + ... + 873265622.

It is an arithmetic number, because the mean of its divisors is an integer number (450976680).

Almost surely, 2^151074937728 is an apocalyptic number.

151074937728 is a gapful number since it is divisible by the number (18) 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 151074937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288625075200).

151074937728 is an abundant number, since it is smaller than the sum of its proper divisors (426175212672).

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

151074937728 is a wasteful number, since it uses less digits than its factorization.

151074937728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 151074937728 in words is "one hundred fifty-one billion, seventy-four million, nine hundred thirty-seven thousand, seven hundred twenty-eight".