149532728400 has 960 divisors, whose sum is σ = 631178649600. Its totient is φ = 33219072000.

The previous prime is 149532728329. The next prime is 149532728447. The reversal of 149532728400 is 4827235941.

149532728400 is a `hidden beast` number, since 1 + 4 + 9 + 532 + 72 + 8 + 40 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 69972132 + ... + 69974268.

It is an arithmetic number, because the mean of its divisors is an integer number (657477760).

Almost surely, 2^149532728400 is an apocalyptic number.

149532728400 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 149532728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315589324800).

149532728400 is an abundant number, since it is smaller than the sum of its proper divisors (481645921200).

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

149532728400 is a wasteful number, since it uses less digits than its factorization.

149532728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 149532728400 in words is "one hundred forty-nine billion, five hundred thirty-two million, seven hundred twenty-eight thousand, four hundred".