149205888000 has 1408 divisors, whose sum is σ = 615876468480. Its totient is φ = 35831808000.

The previous prime is 149205887993. The next prime is 149205888017. The reversal of 149205888000 is 888502941.

It is a happy number.

149205888000 is a `hidden beast` number, since 1 + 49 + 20 + 588 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3639167980 + ... + 3639168020.

Almost surely, 2^149205888000 is an apocalyptic number.

149205888000 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 149205888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307938234240).

149205888000 is an abundant number, since it is smaller than the sum of its proper divisors (466670580480).

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

149205888000 is an frugal number, since it uses more digits than its factorization.

149205888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 149205888000 in words is "one hundred forty-nine billion, two hundred five million, eight hundred eighty-eight thousand".