149799068900 has 144 divisors (see below), whose sum is σ = 352541185920. Its totient is φ = 54921369600.

The previous prime is 149799068891. The next prime is 149799068927. The reversal of 149799068900 is 9860997941.

It is a happy number.

It is a super-2 number, since 2×149799068900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202704731 + ... + 202705469.

It is an arithmetic number, because the mean of its divisors is an integer number (2448202680).

Almost surely, 2^149799068900 is an apocalyptic number.

149799068900 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 149799068900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176270592960).

149799068900 is an abundant number, since it is smaller than the sum of its proper divisors (202742117020).

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

149799068900 is a wasteful number, since it uses less digits than its factorization.

149799068900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 62.

The spelling of 149799068900 in words is "one hundred forty-nine billion, seven hundred ninety-nine million, sixty-eight thousand, nine hundred".