149024659680 has 1152 divisors, whose sum is σ = 596069591040. Its totient is φ = 34720358400.

The previous prime is 149024659669. The next prime is 149024659687. The reversal of 149024659680 is 86956420941.

149024659680 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 2 + 46 + 596 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149024659687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1475491630 + ... + 1475491730.

It is an arithmetic number, because the mean of its divisors is an integer number (517421520).

Almost surely, 2^149024659680 is an apocalyptic number.

149024659680 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 149024659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298034795520).

149024659680 is an abundant number, since it is smaller than the sum of its proper divisors (447044931360).

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

149024659680 is a wasteful number, since it uses less digits than its factorization.

149024659680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 149024659680 in words is "one hundred forty-nine billion, twenty-four million, six hundred fifty-nine thousand, six hundred eighty".