149939893376 has 576 divisors, whose sum is σ = 408497570280. Its totient is φ = 54425419776.

The previous prime is 149939893361. The next prime is 149939893417. The reversal of 149939893376 is 673398939941.

It can be written as a sum of positive squares in 12 ways, for example, as 3691777600 + 146248115776 = 60760^2 + 382424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 955031090 + ... + 955031246.

Almost surely, 2^149939893376 is an apocalyptic number.

149939893376 is a gapful number since it is divisible by the number (16) 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 149939893376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204248785140).

149939893376 is an abundant number, since it is smaller than the sum of its proper divisors (258557676904).

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

149939893376 is a wasteful number, since it uses less digits than its factorization.

149939893376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 249 counting only the distinct ones).

The product of its digits is 238085568, while the sum is 71.

The spelling of 149939893376 in words is "one hundred forty-nine billion, nine hundred thirty-nine million, eight hundred ninety-three thousand, three hundred seventy-six".