245136742560 has 72 divisors (see below), whose sum is σ = 836529138900. Its totient is φ = 65369797632.

The previous prime is 245136742519. The next prime is 245136742577. The reversal of 245136742560 is 65247631542.

245136742560 is a `hidden beast` number, since 2 + 4 + 5 + 13 + 6 + 74 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 226648357776 + 18488384784 = 476076^2 + 135972^2 .

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

It is a super-4 number, since 4×245136742560⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 85115485 + ... + 85118364.

Almost surely, 2^245136742560 is an apocalyptic number.

245136742560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245136742560 is an abundant number, since it is smaller than the sum of its proper divisors (591392396340).

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

245136742560 is a wasteful number, since it uses less digits than its factorization.

245136742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170233870 (or 170233859 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 245136742560 in words is "two hundred forty-five billion, one hundred thirty-six million, seven hundred forty-two thousand, five hundred sixty".