149616230400 has 1152 divisors, whose sum is σ = 662589258240. Its totient is φ = 31425822720.

The previous prime is 149616230377. The next prime is 149616230437. The reversal of 149616230400 is 4032616941.

149616230400 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 16 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 670924689 + ... + 670924911.

Almost surely, 2^149616230400 is an apocalyptic number.

149616230400 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 149616230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331294629120).

149616230400 is an abundant number, since it is smaller than the sum of its proper divisors (512973027840).

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

149616230400 is a wasteful number, since it uses less digits than its factorization.

149616230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 149616230400 in words is "one hundred forty-nine billion, six hundred sixteen million, two hundred thirty thousand, four hundred".