151329699360 has 384 divisors, whose sum is σ = 607492085760. Its totient is φ = 34465471488.

The previous prime is 151329699349. The next prime is 151329699373. The reversal of 151329699360 is 63996923151.

151329699360 is a `hidden beast` number, since 1 + 513 + 2 + 9 + 6 + 99 + 36 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 151329699297 and 151329699306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8549079 + ... + 8566761.

It is an arithmetic number, because the mean of its divisors is an integer number (1582010640).

Almost surely, 2^151329699360 is an apocalyptic number.

151329699360 is a gapful number since it is divisible by the number (10) 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 151329699360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303746042880).

151329699360 is an abundant number, since it is smaller than the sum of its proper divisors (456162386400).

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

151329699360 is a wasteful number, since it uses less digits than its factorization.

151329699360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17997 (or 17983 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 151329699360 in words is "one hundred fifty-one billion, three hundred twenty-nine million, six hundred ninety-nine thousand, three hundred sixty".