149631450336 has 720 divisors, whose sum is σ = 491698136160. Its totient is φ = 44557793280.

The previous prime is 149631450317. The next prime is 149631450337. The reversal of 149631450336 is 633054136941.

It is a happy number.

149631450336 is a `hidden beast` number, since 1 + 4 + 9 + 631 + 4 + 5 + 0 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 149631450291 and 149631450300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149631450337) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2107485181 + ... + 2107485251.

It is an arithmetic number, because the mean of its divisors is an integer number (682914078).

Almost surely, 2^149631450336 is an apocalyptic number.

149631450336 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 149631450336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245849068080).

149631450336 is an abundant number, since it is smaller than the sum of its proper divisors (342066685824).

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

149631450336 is a wasteful number, since it uses less digits than its factorization.

149631450336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 149631450336 in words is "one hundred forty-nine billion, six hundred thirty-one million, four hundred fifty thousand, three hundred thirty-six".