137486000 has 40 divisors (see below), whose sum is σ = 332445984. Its totient is φ = 54993600.

The previous prime is 137485979. The next prime is 137486039. The reversal of 137486000 is 684731.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32372 + ... + 36371.

Almost surely, 2^137486000 is an apocalyptic number.

137486000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137486000 is an abundant number, since it is smaller than the sum of its proper divisors (194959984).

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

137486000 is an equidigital number, since it uses as much as digits as its factorization.

137486000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68766 (or 68750 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 137486000 is about 11725.4424223566. The cubic root of 137486000 is about 516.1225396529.

The spelling of 137486000 in words is "one hundred thirty-seven million, four hundred eighty-six thousand".