146914560 has 360 divisors, whose sum is σ = 571318440. Its totient is φ = 35831808.

The previous prime is 146914529. The next prime is 146914571. The reversal of 146914560 is 65419641.

146914560 is a `hidden beast` number, since 1 + 4 + 6 + 91 + 4 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 139428864 = 2736^2 + 11808^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347786 + ... + 1347894.

Almost surely, 2^146914560 is an apocalyptic number.

146914560 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 146914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285659220).

146914560 is an abundant number, since it is smaller than the sum of its proper divisors (424403880).

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

146914560 is a wasteful number, since it uses less digits than its factorization.

146914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 146914560 is about 12120.8316546349. The cubic root of 146914560 is about 527.6609393401.

The spelling of 146914560 in words is "one hundred forty-six million, nine hundred fourteen thousand, five hundred sixty".