137315542404033 has 32 divisors (see below), whose sum is σ = 232493357868800. Its totient is φ = 78465540181248.

The previous prime is 137315542403999. The next prime is 137315542404037. The reversal of 137315542404033 is 330404245513731.

137315542404033 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 1 + 554 + 24 + 0 + 40 + 33 = 666.

It is not a de Polignac number, because 137315542404033 - 2⁶ = 137315542403969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137315542404033.

It is not an unprimeable number, because it can be changed into a prime (137315542404037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29677083 + ... + 33990591.

It is an arithmetic number, because the mean of its divisors is an integer number (7265417433400).

Almost surely, 2^{137315542404033} is an apocalyptic number.

It is an amenable number.

137315542404033 is a deficient number, since it is larger than the sum of its proper divisors (95177815464767).

137315542404033 is a wasteful number, since it uses less digits than its factorization.

137315542404033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481958 (or 4481952 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

Adding to 137315542404033 its reverse (330404245513731), we get a palindrome (467719787917764).

The spelling of 137315542404033 in words is "one hundred thirty-seven trillion, three hundred fifteen billion, five hundred forty-two million, four hundred four thousand, thirty-three".