149958068488760 has 256 divisors, whose sum is σ = 410643717120000. Its totient is φ = 48110905221120.

The previous prime is 149958068488751. The next prime is 149958068488763. The reversal of 149958068488760 is 67884860859941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149958068488763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4031220641 + ... + 4031257839.

It is an arithmetic number, because the mean of its divisors is an integer number (1604077020000).

Almost surely, 2^{149958068488760} is an apocalyptic number.

149958068488760 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 149958068488760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205321858560000).

149958068488760 is an abundant number, since it is smaller than the sum of its proper divisors (260685648631240).

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

149958068488760 is a wasteful number, since it uses less digits than its factorization.

149958068488760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42094 (or 42090 counting only the distinct ones).

The product of its (nonzero) digits is 6688604160, while the sum is 83.

The spelling of 149958068488760 in words is "one hundred forty-nine trillion, nine hundred fifty-eight billion, sixty-eight million, four hundred eighty-eight thousand, seven hundred sixty".