149312160 has 240 divisors, whose sum is σ = 541720872. Its totient is φ = 38707200.

The previous prime is 149312153. The next prime is 149312161. The reversal of 149312160 is 61213941.

149312160 is a `hidden beast` number, since 1 + 493 + 12 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93779856 + 55532304 = 9684^2 + 7452^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×149312160² = 44588242247731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149312161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 531220 + ... + 531500.

Almost surely, 2^149312160 is an apocalyptic number.

149312160 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 149312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270860436).

149312160 is an abundant number, since it is smaller than the sum of its proper divisors (392408712).

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

149312160 is a wasteful number, since it uses less digits than its factorization.

149312160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 149312160 is about 12219.3354974810. The cubic root of 149312160 is about 530.5158854913.

The spelling of 149312160 in words is "one hundred forty-nine million, three hundred twelve thousand, one hundred sixty".