149085753600 has 648 divisors, whose sum is σ = 578081937888. Its totient is φ = 33735475200.

The previous prime is 149085753599. The next prime is 149085753631. The reversal of 149085753600 is 6357580941.

149085753600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 149085753600.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100664860 + ... + 100666340.

It is an arithmetic number, because the mean of its divisors is an integer number (892101756).

Almost surely, 2^149085753600 is an apocalyptic number.

149085753600 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 149085753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289040968944).

149085753600 is an abundant number, since it is smaller than the sum of its proper divisors (428996184288).

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

149085753600 is a wasteful number, since it uses less digits than its factorization.

149085753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 149085753600 in words is "one hundred forty-nine billion, eighty-five million, seven hundred fifty-three thousand, six hundred".