149902310400 has 528 divisors, whose sum is σ = 518540144640. Its totient is φ = 38146867200.

The previous prime is 149902310399. The next prime is 149902310401. The reversal of 149902310400 is 4013209941.

149902310400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149902310399) and next prime (149902310401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149902310401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188082802 + ... + 188083598.

Almost surely, 2^149902310400 is an apocalyptic number.

149902310400 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 149902310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259270072320).

149902310400 is an abundant number, since it is smaller than the sum of its proper divisors (368637834240).

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

149902310400 is a wasteful number, since it uses less digits than its factorization.

149902310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 149902310400 in words is "one hundred forty-nine billion, nine hundred two million, three hundred ten thousand, four hundred".