149264755149600 has 1728 divisors, whose sum is σ = 579447922959360. Its totient is φ = 37042790400000.

The previous prime is 149264755149563. The next prime is 149264755149641. The reversal of 149264755149600 is 6941557462941.

149264755149600 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 6 + 4 + 7 + 5 + 5 + 14 + 9 + 600 = 666.

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, 225816573270 + ... + 225816573930.

It is an arithmetic number, because the mean of its divisors is an integer number (335328659120).

Almost surely, 2^{149264755149600} is an apocalyptic number.

149264755149600 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 149264755149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289723961479680).

149264755149600 is an abundant number, since it is smaller than the sum of its proper divisors (430183167809760).

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

149264755149600 is a wasteful number, since it uses less digits than its factorization.

149264755149600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 149264755149600 in words is "one hundred forty-nine trillion, two hundred sixty-four billion, seven hundred fifty-five million, one hundred forty-nine thousand, six hundred".