149829926400 has 2160 divisors, whose sum is σ = 721899509760. Its totient is φ = 29262643200.

The previous prime is 149829926387. The next prime is 149829926437. The reversal of 149829926400 is 4629928941.

149829926400 is a `hidden beast` number, since 1 + 4 + 98 + 299 + 264 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1179763137 + ... + 1179763263.

It is an arithmetic number, because the mean of its divisors is an integer number (334212736).

Almost surely, 2^149829926400 is an apocalyptic number.

149829926400 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 149829926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360949754880).

149829926400 is an abundant number, since it is smaller than the sum of its proper divisors (572069583360).

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

149829926400 is a wasteful number, since it uses less digits than its factorization.

149829926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 149829926400 in words is "one hundred forty-nine billion, eight hundred twenty-nine million, nine hundred twenty-six thousand, four hundred".