145537560 has 448 divisors, whose sum is σ = 604385280. Its totient is φ = 30792960.

The previous prime is 145537547. The next prime is 145537571. The reversal of 145537560 is 65735541.

145537560 is a `hidden beast` number, since 1 + 45 + 53 + 7 + 560 = 666.

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 111 ways as a sum of consecutive naturals, for example, 4694745 + ... + 4694775.

Almost surely, 2^145537560 is an apocalyptic number.

145537560 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 145537560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302192640).

145537560 is an abundant number, since it is smaller than the sum of its proper divisors (458847720).

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

145537560 is a wasteful number, since it uses less digits than its factorization.

145537560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 145537560 is about 12063.8948934413. The cubic root of 145537560 is about 526.0072092965.

The spelling of 145537560 in words is "one hundred forty-five million, five hundred thirty-seven thousand, five hundred sixty".