149202953760 has 864 divisors, whose sum is σ = 597527461440. Its totient is φ = 31115943936.

The previous prime is 149202953759. The next prime is 149202953777. The reversal of 149202953760 is 67359202941.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 375825882 + ... + 375826278.

It is an arithmetic number, because the mean of its divisors is an integer number (691582710).

Almost surely, 2^149202953760 is an apocalyptic number.

149202953760 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 149202953760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298763730720).

149202953760 is an abundant number, since it is smaller than the sum of its proper divisors (448324507680).

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

149202953760 is a wasteful number, since it uses less digits than its factorization.

149202953760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 149202953760 in words is "one hundred forty-nine billion, two hundred two million, nine hundred fifty-three thousand, seven hundred sixty".