149328532800 has 336 divisors, whose sum is σ = 545791664320. Its totient is φ = 39716075520.

The previous prime is 149328532799. The next prime is 149328532823. The reversal of 149328532800 is 8235823941.

149328532800 is a `hidden beast` number, since 1 + 4 + 9 + 32 + 8 + 532 + 80 + 0 = 666.

149328532800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17146047 + ... + 17154753.

Almost surely, 2^149328532800 is an apocalyptic number.

149328532800 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 149328532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272895832160).

149328532800 is an abundant number, since it is smaller than the sum of its proper divisors (396463131520).

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

149328532800 is a wasteful number, since it uses less digits than its factorization.

149328532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9135 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 149328532800 in words is "one hundred forty-nine billion, three hundred twenty-eight million, five hundred thirty-two thousand, eight hundred".