146552560 has 160 divisors (see below), whose sum is σ = 436972032. Its totient is φ = 44375040.

The previous prime is 146552551. The next prime is 146552569. The reversal of 146552560 is 65255641.

146552560 is digitally balanced in base 2, 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 (146552551) and next prime (146552569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146552569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227599 + ... + 228241.

Almost surely, 2^146552560 is an apocalyptic number.

146552560 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 146552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218486016).

146552560 is an abundant number, since it is smaller than the sum of its proper divisors (290419472).

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

146552560 is a wasteful number, since it uses less digits than its factorization.

146552560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 146552560 is about 12105.8894757882. The cubic root of 146552560 is about 527.2271943530.

The spelling of 146552560 in words is "one hundred forty-six million, five hundred fifty-two thousand, five hundred sixty".