1137040114001 has 32 divisors (see below), whose sum is σ = 1267091804160. Its totient is φ = 1011602592000.

The previous prime is 1137040113991. The next prime is 1137040114027. The reversal of 1137040114001 is 1004110407311.

It is not a de Polignac number, because 1137040114001 - 2³⁴ = 1119860244817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1137040614001) 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 31 ways as a sum of consecutive naturals, for example, 159000776 + ... + 159007926.

It is an arithmetic number, because the mean of its divisors is an integer number (39596618880).

Almost surely, 2^{1137040114001} is an apocalyptic number.

1137040114001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1137040114001 is a deficient number, since it is larger than the sum of its proper divisors (130051690159).

1137040114001 is a wasteful number, since it uses less digits than its factorization.

1137040114001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285.

The product of its (nonzero) digits is 336, while the sum is 23.

The spelling of 1137040114001 in words is "one trillion, one hundred thirty-seven billion, forty million, one hundred fourteen thousand, one".