149397765600 has 144 divisors (see below), whose sum is σ = 490835334528. Its totient is φ = 39467005440.

The previous prime is 149397765577. The next prime is 149397765607. The reversal of 149397765600 is 6567793941.

It is a happy number.

149397765600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149397765607) 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, 34084 + ... + 547683.

It is an arithmetic number, because the mean of its divisors is an integer number (3408578712).

Almost surely, 2^149397765600 is an apocalyptic number.

149397765600 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 149397765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245417667264).

149397765600 is an abundant number, since it is smaller than the sum of its proper divisors (341437568928).

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

149397765600 is a wasteful number, since it uses less digits than its factorization.

149397765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581897 (or 581884 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 57.

The spelling of 149397765600 in words is "one hundred forty-nine billion, three hundred ninety-seven million, seven hundred sixty-five thousand, six hundred".