149013182545920 has 4032 divisors, whose sum is σ = 703515307622400. Its totient is φ = 29964946636800.

The previous prime is 149013182545883. The next prime is 149013182545963. The reversal of 149013182545920 is 29545281310941.

149013182545920 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 1 + 3 + 1 + 8 + 2 + 545 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4806876856305 + ... + 4806876856335.

It is an arithmetic number, because the mean of its divisors is an integer number (174482963200).

Almost surely, 2^{149013182545920} is an apocalyptic number.

149013182545920 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 149013182545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351757653811200).

149013182545920 is an abundant number, since it is smaller than the sum of its proper divisors (554502125076480).

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

149013182545920 is an frugal number, since it uses more digits than its factorization.

149013182545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 149013182545920 in words is "one hundred forty-nine trillion, thirteen billion, one hundred eighty-two million, five hundred forty-five thousand, nine hundred twenty".