149955857568 has 432 divisors, whose sum is σ = 488104501248. Its totient is φ = 43589145600.

The previous prime is 149955857543. The next prime is 149955857573. The reversal of 149955857568 is 865758559941.

149955857568 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 5 + 5 + 8 + 57 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 149955857496 and 149955857505.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137196030 + ... + 137197122.

Almost surely, 2^149955857568 is an apocalyptic number.

149955857568 is a gapful number since it is divisible by the number (18) 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 149955857568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244052250624).

149955857568 is an abundant number, since it is smaller than the sum of its proper divisors (338148643680).

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

149955857568 is a wasteful number, since it uses less digits than its factorization.

149955857568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1267 counting only the distinct ones).

The product of its digits is 544320000, while the sum is 72.

The spelling of 149955857568 in words is "one hundred forty-nine billion, nine hundred fifty-five million, eight hundred fifty-seven thousand, five hundred sixty-eight".