149929692232320 has 6144 divisors, whose sum is σ = 765805811097600. Its totient is φ = 26994250874880.

The previous prime is 149929692232289. The next prime is 149929692232321. The reversal of 149929692232320 is 23232296929941.

149929692232320 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 29 + 69 + 223 + 2 + 320 = 666.

It is a super-2 number, since 2×149929692232320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (149929692232321) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 511705434094 + ... + 511705434386.

It is an arithmetic number, because the mean of its divisors is an integer number (124642872900).

Almost surely, 2^{149929692232320} is an apocalyptic number.

149929692232320 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 149929692232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382902905548800).

149929692232320 is an abundant number, since it is smaller than the sum of its proper divisors (615876118865280).

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

149929692232320 is a wasteful number, since it uses less digits than its factorization.

149929692232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 149929692232320 in words is "one hundred forty-nine trillion, nine hundred twenty-nine billion, six hundred ninety-two million, two hundred thirty-two thousand, three hundred twenty".