149402147328 has 640 divisors, whose sum is σ = 555307315200. Its totient is φ = 38670483456.

The previous prime is 149402147311. The next prime is 149402147329. The reversal of 149402147328 is 823741204941.

149402147328 is a `hidden beast` number, since 149 + 40 + 2 + 147 + 328 = 666.

It is not an unprimeable number, because it can be changed into a prime (149402147329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42285850 + ... + 42289382.

It is an arithmetic number, because the mean of its divisors is an integer number (867667680).

Almost surely, 2^149402147328 is an apocalyptic number.

149402147328 is a gapful number since it is divisible by the number (18) 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 149402147328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277653657600).

149402147328 is an abundant number, since it is smaller than the sum of its proper divisors (405905167872).

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

149402147328 is a wasteful number, since it uses less digits than its factorization.

149402147328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 149402147328 in words is "one hundred forty-nine billion, four hundred two million, one hundred forty-seven thousand, three hundred twenty-eight".