149391889920 has 2160 divisors, whose sum is σ = 699158219760. Its totient is φ = 30433148928.

The previous prime is 149391889919. The next prime is 149391889937. The reversal of 149391889920 is 29988193941.

149391889920 is a `hidden beast` number, since 149 + 391 + 8 + 89 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5151444466 + ... + 5151444494.

It is an arithmetic number, because the mean of its divisors is an integer number (323684361).

Almost surely, 2^149391889920 is an apocalyptic number.

149391889920 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 149391889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349579109880).

149391889920 is an abundant number, since it is smaller than the sum of its proper divisors (549766329840).

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

149391889920 is an equidigital number, since it uses as much as digits as its factorization.

149391889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 149391889920 in words is "one hundred forty-nine billion, three hundred ninety-one million, eight hundred eighty-nine thousand, nine hundred twenty".