149639331985920 has 600 divisors, whose sum is σ = 623464652582244. Its totient is φ = 34203273560064.

The previous prime is 149639331985901. The next prime is 149639331985951. The reversal of 149639331985920 is 29589133936941.

149639331985920 is a `hidden beast` number, since 1 + 4 + 9 + 63 + 93 + 319 + 85 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148344215152896 + 1295116833024 = 12179664^2 + 1138032^2 .

It is a super-2 number, since 2×149639331985920² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2796964 + ... + 17524316.

Almost surely, 2^{149639331985920} is an apocalyptic number.

149639331985920 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 149639331985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311732326291122).

149639331985920 is an abundant number, since it is smaller than the sum of its proper divisors (473825320596324).

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

149639331985920 is an equidigital number, since it uses as much as digits as its factorization.

149639331985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14727402 (or 14727370 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 149639331985920 in words is "one hundred forty-nine trillion, six hundred thirty-nine billion, three hundred thirty-one million, nine hundred eighty-five thousand, nine hundred twenty".