149996259311616 has 459 divisors, whose sum is σ = 446382758940573. Its totient is φ = 48534564372480.

The previous prime is 149996259311609. The next prime is 149996259311617. The reversal of 149996259311616 is 616113952699941.

It is a happy number.

The square root of 149996259311616 is 12247296.

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

149996259311616 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 9 + 6 + 2 + 593 + 1 + 16 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134218712678400 + 15777546633216 = 11585280^2 + 3972096^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (149996259311617) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 348019162921 + ... + 348019163351.

Almost surely, 2^{149996259311616} is an apocalyptic number.

149996259311616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

149996259311616 is the 12247296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149996259311616

149996259311616 is an abundant number, since it is smaller than the sum of its proper divisors (296386499628957).

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

149996259311616 is an frugal number, since it uses more digits than its factorization.

149996259311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 473 counting only the distinct ones).

The product of its digits is 170061120, while the sum is 72.

The spelling of 149996259311616 in words is "one hundred forty-nine trillion, nine hundred ninety-six billion, two hundred fifty-nine million, three hundred eleven thousand, six hundred sixteen".