145606635360 has 72 divisors (see below), whose sum is σ = 496882648080. Its totient is φ = 38828435712.

The previous prime is 145606635341. The next prime is 145606635481. The reversal of 145606635360 is 63536606541.

145606635360 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 0 + 6 + 635 + 3 + 6 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50556420 + ... + 50559299.

It is an arithmetic number, because the mean of its divisors is an integer number (6901147890).

Almost surely, 2^145606635360 is an apocalyptic number.

145606635360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145606635360 is an abundant number, since it is smaller than the sum of its proper divisors (351276012720).

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

145606635360 is a wasteful number, since it uses less digits than its factorization.

145606635360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101115740 (or 101115729 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 145606635360 in words is "one hundred forty-five billion, six hundred six million, six hundred thirty-five thousand, three hundred sixty".