149652095768000 has 896 divisors, whose sum is σ = 438428845670400. Its totient is φ = 49542234931200.

The previous prime is 149652095767991. The next prime is 149652095768027. The reversal of 149652095768000 is 867590256941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62381030801 + ... + 62381033199.

Almost surely, 2^{149652095768000} is an apocalyptic number.

149652095768000 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 149652095768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219214422835200).

149652095768000 is an abundant number, since it is smaller than the sum of its proper divisors (288776749902400).

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

149652095768000 is a wasteful number, since it uses less digits than its factorization.

149652095768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 62.

The spelling of 149652095768000 in words is "one hundred forty-nine trillion, six hundred fifty-two billion, ninety-five million, seven hundred sixty-eight thousand".