149741222400 has 1920 divisors, whose sum is σ = 727744849920. Its totient is φ = 29196288000.

The previous prime is 149741222353. The next prime is 149741222401. The reversal of 149741222400 is 4222147941.

It is a happy number.

149741222400 is a `hidden beast` number, since 1 + 497 + 4 + 122 + 2 + 40 + 0 = 666.

149741222400 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 (1920).

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

It is not an unprimeable number, because it can be changed into a prime (149741222401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 452390235 + ... + 452390565.

It is an arithmetic number, because the mean of its divisors is an integer number (379033776).

Almost surely, 2^149741222400 is an apocalyptic number.

149741222400 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 149741222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363872424960).

149741222400 is an abundant number, since it is smaller than the sum of its proper divisors (578003627520).

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

149741222400 is a wasteful number, since it uses less digits than its factorization.

149741222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 149741222400 in words is "one hundred forty-nine billion, seven hundred forty-one million, two hundred twenty-two thousand, four hundred".