149089510446240 has 1536 divisors, whose sum is σ = 618073844613120. Its totient is φ = 29313476591616.

The previous prime is 149089510446209. The next prime is 149089510446281. The reversal of 149089510446240 is 42644015980941.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57809037271 + ... + 57809039849.

It is an arithmetic number, because the mean of its divisors is an integer number (402391825920).

Almost surely, 2^{149089510446240} is an apocalyptic number.

149089510446240 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 149089510446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309036922306560).

149089510446240 is an abundant number, since it is smaller than the sum of its proper divisors (468984334166880).

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

149089510446240 is a wasteful number, since it uses less digits than its factorization.

149089510446240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 149089510446240 in words is "one hundred forty-nine trillion, eighty-nine billion, five hundred ten million, four hundred forty-six thousand, two hundred forty".