348157565136 has 120 divisors (see below), whose sum is σ = 976726001160. Its totient is φ = 115770851328.

The previous prime is 348157565131. The next prime is 348157565137. The reversal of 348157565136 is 631565751843.

348157565136 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 575 + 65 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14582011536 + 333575553600 = 120756^2 + 577560^2 .

It is a super-2 number, since 2×348157565136² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348157565131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161707036 + ... + 161709188.

It is an arithmetic number, because the mean of its divisors is an integer number (8139383343).

Almost surely, 2^348157565136 is an apocalyptic number.

348157565136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

348157565136 is an abundant number, since it is smaller than the sum of its proper divisors (628568436024).

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

348157565136 is a wasteful number, since it uses less digits than its factorization.

348157565136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4364 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 348157565136 in words is "three hundred forty-eight billion, one hundred fifty-seven million, five hundred sixty-five thousand, one hundred thirty-six".