149134003200 has 1056 divisors, whose sum is σ = 674329617920. Its totient is φ = 31452364800.

The previous prime is 149134003199. The next prime is 149134003211. The reversal of 149134003200 is 2300431941.

149134003200 is a `hidden beast` number, since 1 + 49 + 13 + 400 + 3 + 200 = 666.

It is a super-2 number, since 2×149134003200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 62898015 + ... + 62900385.

Almost surely, 2^149134003200 is an apocalyptic number.

149134003200 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 149134003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337164808960).

149134003200 is an abundant number, since it is smaller than the sum of its proper divisors (525195614720).

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

149134003200 is a wasteful number, since it uses less digits than its factorization.

149134003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 149134003200 in words is "one hundred forty-nine billion, one hundred thirty-four million, three thousand, two hundred".