149255308800 has 960 divisors, whose sum is σ = 596711808000. Its totient is φ = 36322836480.

The previous prime is 149255308771. The next prime is 149255308837. The reversal of 149255308800 is 8803552941.

149255308800 is a `hidden beast` number, since 1 + 4 + 92 + 553 + 0 + 8 + 8 + 0 + 0 = 666.

149255308800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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, 624499081 + ... + 624499319.

It is an arithmetic number, because the mean of its divisors is an integer number (621574800).

Almost surely, 2^149255308800 is an apocalyptic number.

149255308800 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 149255308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298355904000).

149255308800 is an abundant number, since it is smaller than the sum of its proper divisors (447456499200).

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

149255308800 is a wasteful number, since it uses less digits than its factorization.

149255308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 401 counting only the distinct ones).

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

The spelling of 149255308800 in words is "one hundred forty-nine billion, two hundred fifty-five million, three hundred eight thousand, eight hundred".