149313120 has 96 divisors (see below), whose sum is σ = 513112320. Its totient is φ = 36195840.

The previous prime is 149313113. The next prime is 149313127. The reversal of 149313120 is 21313941.

149313120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149313113) and next prime (149313127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149313127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8860 + ... + 19419.

It is an arithmetic number, because the mean of its divisors is an integer number (5344920).

Almost surely, 2^149313120 is an apocalyptic number.

149313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149313120 is an abundant number, since it is smaller than the sum of its proper divisors (363799200).

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

149313120 is a wasteful number, since it uses less digits than its factorization.

149313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28308 (or 28300 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 149313120 is about 12219.3747794230. The cubic root of 149313120 is about 530.5170224698.

The spelling of 149313120 in words is "one hundred forty-nine million, three hundred thirteen thousand, one hundred twenty".