151538171904 has 612 divisors, whose sum is σ = 535658865664. Its totient is φ = 40428896256.

The previous prime is 151538171899. The next prime is 151538171909. The reversal of 151538171904 is 409171835151.

151538171904 is a `hidden beast` number, since 1 + 515 + 38 + 17 + 1 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (151538171899) and next prime (151538171909).

It is a tau number, because it is divible by the number of its divisors (612).

It is a self number, because there is not a number n which added to its sum of digits gives 151538171904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151538171909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1193213889 + ... + 1193214015.

Almost surely, 2^151538171904 is an apocalyptic number.

151538171904 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 151538171904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267829432832).

151538171904 is an abundant number, since it is smaller than the sum of its proper divisors (384120693760).

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

151538171904 is an equidigital number, since it uses as much as digits as its factorization.

151538171904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 151538171904 in words is "one hundred fifty-one billion, five hundred thirty-eight million, one hundred seventy-one thousand, nine hundred four".