38132461231137 has 320 divisors, whose sum is σ = 73350495680000. Its totient is φ = 19570208793408.

The previous prime is 38132461231133. The next prime is 38132461231147. The reversal of 38132461231137 is 73113216423183.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

38132461231137 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 24 + 612 + 3 + 1 + 1 + 3 + 7 = 666.

38132461231137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38132461231137 - 2² = 38132461231133 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 38132461231137 = 4440³ + 33633³ = 25974³ + 27417³.

It is a junction number, because it is equal to n+sod(n) for n = 38132461231092 and 38132461231101.

It is not an unprimeable number, because it can be changed into a prime (38132461231133) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 1030607060283 + ... + 1030607060319.

It is an arithmetic number, because the mean of its divisors is an integer number (229220299000).

Almost surely, 2^{38132461231137} is an apocalyptic number.

38132461231137 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

38132461231137 is a deficient number, since it is larger than the sum of its proper divisors (35218034448863).

38132461231137 is an frugal number, since it uses more digits than its factorization.

38132461231137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 60 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 38132461231137 in words is "thirty-eight trillion, one hundred thirty-two billion, four hundred sixty-one million, two hundred thirty-one thousand, one hundred thirty-seven".