137112432534 has 128 divisors (see below), whose sum is σ = 380587023360. Its totient is φ = 35547206400.

The previous prime is 137112432529. The next prime is 137112432571. The reversal of 137112432534 is 435234211731.

137112432534 is a `hidden beast` number, since 1 + 3 + 7 + 112 + 4 + 3 + 2 + 534 = 666.

It is a super-2 number, since 2×137112432534² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2219002 + ... + 2279954.

It is an arithmetic number, because the mean of its divisors is an integer number (2973336120).

Almost surely, 2^137112432534 is an apocalyptic number.

137112432534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137112432534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190293511680).

137112432534 is an abundant number, since it is smaller than the sum of its proper divisors (243474590826).

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

137112432534 is a wasteful number, since it uses less digits than its factorization.

137112432534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61523 (or 61517 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The spelling of 137112432534 in words is "one hundred thirty-seven billion, one hundred twelve million, four hundred thirty-two thousand, five hundred thirty-four".