149556326400 has 1560 divisors, whose sum is σ = 636610417520. Its totient is φ = 34398535680.

The previous prime is 149556326377. The next prime is 149556326417. The reversal of 149556326400 is 4623655941.

149556326400 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 5 + 632 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

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 119 ways as a sum of consecutive naturals, for example, 2048716764 + ... + 2048716836.

Almost surely, 2^149556326400 is an apocalyptic number.

149556326400 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 149556326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318305208760).

149556326400 is an abundant number, since it is smaller than the sum of its proper divisors (487054091120).

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

149556326400 is a wasteful number, since it uses less digits than its factorization.

149556326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 149556326400 in words is "one hundred forty-nine billion, five hundred fifty-six million, three hundred twenty-six thousand, four hundred".