149149589760 has 864 divisors, whose sum is σ = 576457644672. Its totient is φ = 36787322880.

The previous prime is 149149589753. The next prime is 149149589803. The reversal of 149149589760 is 67985941941.

149149589760 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 49 + 589 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354274350 + ... + 354274770.

It is an arithmetic number, because the mean of its divisors is an integer number (667196348).

Almost surely, 2^149149589760 is an apocalyptic number.

149149589760 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 149149589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288228822336).

149149589760 is an abundant number, since it is smaller than the sum of its proper divisors (427308054912).

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

149149589760 is an equidigital number, since it uses as much as digits as its factorization.

149149589760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 149149589760 in words is "one hundred forty-nine billion, one hundred forty-nine million, five hundred eighty-nine thousand, seven hundred sixty".