151355457792 has 864 divisors, whose sum is σ = 569975777280. Its totient is φ = 38776320000.

The previous prime is 151355457787. The next prime is 151355457821. The reversal of 151355457792 is 297754553151.

It is a happy number.

151355457792 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 5 + 545 + 7 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 603009667 + ... + 603009917.

Almost surely, 2^151355457792 is an apocalyptic number.

151355457792 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 151355457792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284987888640).

151355457792 is an abundant number, since it is smaller than the sum of its proper divisors (418620319488).

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

151355457792 is a wasteful number, since it uses less digits than its factorization.

151355457792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 377 counting only the distinct ones).

The product of its digits is 6615000, while the sum is 54.

The spelling of 151355457792 in words is "one hundred fifty-one billion, three hundred fifty-five million, four hundred fifty-seven thousand, seven hundred ninety-two".