137801007 has 20 divisors (see below), whose sum is σ = 209741400. Its totient is φ = 90131184.

The previous prime is 137800991. The next prime is 137801017. The reversal of 137801007 is 700108731.

It is not a de Polignac number, because 137801007 - 2⁴ = 137800991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137801017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11757 + ... + 20342.

It is an arithmetic number, because the mean of its divisors is an integer number (10487070).

Almost surely, 2^137801007 is an apocalyptic number.

137801007 is a deficient number, since it is larger than the sum of its proper divisors (71940393).

137801007 is an equidigital number, since it uses as much as digits as its factorization.

137801007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32164 (or 32155 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 137801007 is about 11738.8673644436. The cubic root of 137801007 is about 516.5164178212.

Adding to 137801007 its reverse (700108731), we get a palindrome (837909738).

The spelling of 137801007 in words is "one hundred thirty-seven million, eight hundred one thousand, seven".