149829672960 has 504 divisors, whose sum is σ = 571056333120. Its totient is φ = 36311531520.

The previous prime is 149829672953. The next prime is 149829672973. The reversal of 149829672960 is 69276928941.

149829672960 is a `hidden beast` number, since 1 + 498 + 2 + 9 + 67 + 29 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44603761 + ... + 44607119.

It is an arithmetic number, because the mean of its divisors is an integer number (1133048280).

Almost surely, 2^149829672960 is an apocalyptic number.

149829672960 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 149829672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285528166560).

149829672960 is an abundant number, since it is smaller than the sum of its proper divisors (421226660160).

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

149829672960 is a wasteful number, since it uses less digits than its factorization.

149829672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 149829672960 in words is "one hundred forty-nine billion, eight hundred twenty-nine million, six hundred seventy-two thousand, nine hundred sixty".