149834098252800 has 4224 divisors, whose sum is σ = 658580098176000. Its totient is φ = 33041704550400.

The previous prime is 149834098252753. The next prime is 149834098252843. The reversal of 149834098252800 is 8252890438941.

149834098252800 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 340 + 9 + 8 + 2 + 5 + 280 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 262406476515 + ... + 262406477085.

It is an arithmetic number, because the mean of its divisors is an integer number (155913849000).

Almost surely, 2^{149834098252800} is an apocalyptic number.

149834098252800 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 149834098252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329290049088000).

149834098252800 is an abundant number, since it is smaller than the sum of its proper divisors (508745999923200).

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

149834098252800 is a wasteful number, since it uses less digits than its factorization.

149834098252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 149834098252800 in words is "one hundred forty-nine trillion, eight hundred thirty-four billion, ninety-eight million, two hundred fifty-two thousand, eight hundred".