149668629120 has 256 divisors, whose sum is σ = 532108051200. Its totient is φ = 39758671872.

The previous prime is 149668629067. The next prime is 149668629137. The reversal of 149668629120 is 21926866941.

149668629120 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 6 + 8 + 629 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×149668629120² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4528174 + ... + 4561106.

It is an arithmetic number, because the mean of its divisors is an integer number (2078547075).

Almost surely, 2^149668629120 is an apocalyptic number.

149668629120 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 149668629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266054025600).

149668629120 is an abundant number, since it is smaller than the sum of its proper divisors (382439422080).

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

149668629120 is a wasteful number, since it uses less digits than its factorization.

149668629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33224 (or 33206 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 149668629120 in words is "one hundred forty-nine billion, six hundred sixty-eight million, six hundred twenty-nine thousand, one hundred twenty".