149741137296 has 105 divisors (see below), whose sum is σ = 435107629659. Its totient is φ = 49899781728.

The previous prime is 149741137261. The next prime is 149741137319. The reversal of 149741137296 is 692731147941.

The square root of 149741137296 is 386964.

It is a perfect power (a square), and thus also a powerful number.

149741137296 is a `hidden beast` number, since 149 + 7 + 41 + 1 + 372 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 41790321 + ... + 41793903.

Almost surely, 2^149741137296 is an apocalyptic number.

149741137296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

149741137296 is the 386964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149741137296

149741137296 is an abundant number, since it is smaller than the sum of its proper divisors (285366492363).

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

149741137296 is an frugal number, since it uses more digits than its factorization.

149741137296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7192 (or 3588 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 149741137296 in words is "one hundred forty-nine billion, seven hundred forty-one million, one hundred thirty-seven thousand, two hundred ninety-six".