149600293466832 has 120 divisors (see below), whose sum is σ = 459385807129704. Its totient is φ = 45162352714752.

The previous prime is 149600293466807. The next prime is 149600293466837. The reversal of 149600293466832 is 238664392006941.

149600293466832 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 0 + 0 + 2 + 93 + 466 + 83 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20209304466576 + 129390989000256 = 4495476^2 + 11375016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 149600293466832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149600293466837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753812923 + ... + 754011354.

Almost surely, 2^{149600293466832} is an apocalyptic number.

149600293466832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149600293466832 is an abundant number, since it is smaller than the sum of its proper divisors (309785513662872).

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

149600293466832 is a wasteful number, since it uses less digits than its factorization.

149600293466832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507824357 (or 1507824348 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 149600293466832 in words is "one hundred forty-nine trillion, six hundred billion, two hundred ninety-three million, four hundred sixty-six thousand, eight hundred thirty-two".