149921815680 has 1024 divisors, whose sum is σ = 663725260800. Its totient is φ = 31137841152.

The previous prime is 149921815639. The next prime is 149921815709. The reversal of 149921815680 is 86518129941.

149921815680 is a `hidden beast` number, since 1 + 499 + 21 + 8 + 1 + 56 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105355449 + ... + 105356871.

It is an arithmetic number, because the mean of its divisors is an integer number (648169200).

Almost surely, 2^149921815680 is an apocalyptic number.

149921815680 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 149921815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331862630400).

149921815680 is an abundant number, since it is smaller than the sum of its proper divisors (513803445120).

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

149921815680 is a wasteful number, since it uses less digits than its factorization.

149921815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 149921815680 in words is "one hundred forty-nine billion, nine hundred twenty-one million, eight hundred fifteen thousand, six hundred eighty".