151593007104 has 1152 divisors, whose sum is σ = 593152035840. Its totient is φ = 36097228800.

The previous prime is 151593007103. The next prime is 151593007123. The reversal of 151593007104 is 401700395151.

It is a happy number.

151593007104 is a `hidden beast` number, since 1 + 51 + 593 + 0 + 0 + 7 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151593007103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1471776717 + ... + 1471776819.

It is an arithmetic number, because the mean of its divisors is an integer number (514888920).

Almost surely, 2^151593007104 is an apocalyptic number.

151593007104 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 151593007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296576017920).

151593007104 is an abundant number, since it is smaller than the sum of its proper divisors (441559028736).

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

151593007104 is a wasteful number, since it uses less digits than its factorization.

151593007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 151593007104 in words is "one hundred fifty-one billion, five hundred ninety-three million, seven thousand, one hundred four".