149085892800 has 1008 divisors, whose sum is σ = 612894522240. Its totient is φ = 34044641280.

The previous prime is 149085892789. The next prime is 149085892847. The reversal of 149085892800 is 8298580941.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 251409304 + ... + 251409896.

It is an arithmetic number, because the mean of its divisors is an integer number (608030280).

Almost surely, 2^149085892800 is an apocalyptic number.

149085892800 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 149085892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306447261120).

149085892800 is an abundant number, since it is smaller than the sum of its proper divisors (463808629440).

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

149085892800 is a wasteful number, since it uses less digits than its factorization.

149085892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 149085892800 in words is "one hundred forty-nine billion, eighty-five million, eight hundred ninety-two thousand, eight hundred".