149175475200 has 1056 divisors, whose sum is σ = 594160582400. Its totient is φ = 36548444160.

The previous prime is 149175475199. The next prime is 149175475231. The reversal of 149175475200 is 2574571941.

149175475200 is a `hidden beast` number, since 1 + 4 + 9 + 175 + 475 + 2 + 0 + 0 = 666.

149175475200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×149175475200² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 485913447 + ... + 485913753.

Almost surely, 2^149175475200 is an apocalyptic number.

149175475200 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 149175475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297080291200).

149175475200 is an abundant number, since it is smaller than the sum of its proper divisors (444985107200).

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

149175475200 is a wasteful number, since it uses less digits than its factorization.

149175475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 149175475200 in words is "one hundred forty-nine billion, one hundred seventy-five million, four hundred seventy-five thousand, two hundred".