145597032 has 72 divisors (see below), whose sum is σ = 458716050. Its totient is φ = 41598144.

The previous prime is 145597031. The next prime is 145597037. The reversal of 145597032 is 230795541.

145597032 is a `hidden beast` number, since 1 + 4 + 559 + 70 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145298916 + 298116 = 12054^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (145597031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17107 + ... + 24162.

Almost surely, 2^145597032 is an apocalyptic number.

145597032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145597032 is an abundant number, since it is smaller than the sum of its proper divisors (313119018).

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

145597032 is a wasteful number, since it uses less digits than its factorization.

145597032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41295 (or 41281 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 145597032 is about 12066.3595172695. The cubic root of 145597032 is about 526.0788481702.

The spelling of 145597032 in words is "one hundred forty-five million, five hundred ninety-seven thousand, thirty-two".