151838032896 has 693 divisors, whose sum is σ = 512713700989. Its totient is φ = 44889292800.

The previous prime is 151838032889. The next prime is 151838032897. The reversal of 151838032896 is 698230838151.

The square root of 151838032896 is 389664.

It is a perfect power (a square), and thus also a powerful number.

151838032896 is a `hidden beast` number, since 1 + 518 + 3 + 8 + 0 + 32 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7316407296 + 144521625600 = 85536^2 + 380160^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151838032897) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3703366636 + ... + 3703366676.

Almost surely, 2^151838032896 is an apocalyptic number.

151838032896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

151838032896 is the 389664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151838032896

151838032896 is an abundant number, since it is smaller than the sum of its proper divisors (360875668093).

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

151838032896 is an frugal number, since it uses more digits than its factorization.

151838032896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 151838032896 in words is "one hundred fifty-one billion, eight hundred thirty-eight million, thirty-two thousand, eight hundred ninety-six".