1337085192975 has 384 divisors, whose sum is σ = 2897094574080. Its totient is φ = 529790976000.

The previous prime is 1337085192943. The next prime is 1337085193079. The reversal of 1337085192975 is 5792915807331.

It is a Cunningham number, because it is equal to 1156324²-1.

It is not a de Polignac number, because 1337085192975 - 2⁵ = 1337085192943 is a prime.

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 383 ways as a sum of consecutive naturals, for example, 664884720 + ... + 664886730.

It is an arithmetic number, because the mean of its divisors is an integer number (7544517120).

Almost surely, 2^{1337085192975} is an apocalyptic number.

1337085192975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1337085192975 is an abundant number, since it is smaller than the sum of its proper divisors (1560009381105).

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

1337085192975 is a wasteful number, since it uses less digits than its factorization.

1337085192975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 60.

The spelling of 1337085192975 in words is "one trillion, three hundred thirty-seven billion, eighty-five million, one hundred ninety-two thousand, nine hundred seventy-five".