149605263360 has 1008 divisors, whose sum is σ = 627601583700. Its totient is φ = 34111881216.

The previous prime is 149605263359. The next prime is 149605263373. The reversal of 149605263360 is 63362506941.

149605263360 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 0 + 5 + 2 + 633 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145179288576 + 4425974784 = 381024^2 + 66528^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 365782836 + ... + 365783244.

Almost surely, 2^149605263360 is an apocalyptic number.

149605263360 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 149605263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313800791850).

149605263360 is an abundant number, since it is smaller than the sum of its proper divisors (477996320340).

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

149605263360 is an frugal number, since it uses more digits than its factorization.

149605263360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 426 counting only the distinct ones).

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

The spelling of 149605263360 in words is "one hundred forty-nine billion, six hundred five million, two hundred sixty-three thousand, three hundred sixty".