149253580800 has 1440 divisors, whose sum is σ = 613799386200. Its totient is φ = 35672555520.

The previous prime is 149253580759. The next prime is 149253580811. The reversal of 149253580800 is 8085352941.

149253580800 is a `hidden beast` number, since 1 + 49 + 25 + 3 + 580 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27614462976 + 121639117824 = 166176^2 + 348768^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2044569564 + ... + 2044569636.

Almost surely, 2^149253580800 is an apocalyptic number.

149253580800 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 149253580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306899693100).

149253580800 is an abundant number, since it is smaller than the sum of its proper divisors (464545805400).

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

149253580800 is a wasteful number, since it uses less digits than its factorization.

149253580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 149253580800 in words is "one hundred forty-nine billion, two hundred fifty-three million, five hundred eighty thousand, eight hundred".