149496564960 has 288 divisors, whose sum is σ = 520762919040. Its totient is φ = 39042662400.

The previous prime is 149496564929. The next prime is 149496564961. The reversal of 149496564960 is 69465694941.

149496564960 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 9 + 6 + 564 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149496564961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20990200 + ... + 20997320.

It is an arithmetic number, because the mean of its divisors is an integer number (1808204580).

Almost surely, 2^149496564960 is an apocalyptic number.

149496564960 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 149496564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260381459520).

149496564960 is an abundant number, since it is smaller than the sum of its proper divisors (371266354080).

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

149496564960 is a wasteful number, since it uses less digits than its factorization.

149496564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7442 (or 7431 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 149496564960 in words is "one hundred forty-nine billion, four hundred ninety-six million, five hundred sixty-four thousand, nine hundred sixty".