149913109496304 has 1440 divisors, whose sum is σ = 572143079499264. Its totient is φ = 36911480094720.

The previous prime is 149913109496291. The next prime is 149913109496329. The reversal of 149913109496304 is 403694901319941.

149913109496304 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 1 + 3 + 109 + 496 + 30 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17895794964 + ... + 17895803340.

Almost surely, 2^{149913109496304} is an apocalyptic number.

149913109496304 is a gapful number since it is divisible by the number (14) 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 149913109496304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286071539749632).

149913109496304 is an abundant number, since it is smaller than the sum of its proper divisors (422229970002960).

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

149913109496304 is a wasteful number, since it uses less digits than its factorization.

149913109496304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8577 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 149913109496304 in words is "one hundred forty-nine trillion, nine hundred thirteen billion, one hundred nine million, four hundred ninety-six thousand, three hundred four".