137847640 has 64 divisors (see below), whose sum is σ = 355829760. Its totient is φ = 47080320.

The previous prime is 137847623. The next prime is 137847709. The reversal of 137847640 is 46748731.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 137847593 and 137847602.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 86289 + ... + 87871.

It is an arithmetic number, because the mean of its divisors is an integer number (5559840).

Almost surely, 2^137847640 is an apocalyptic number.

137847640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137847640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177914880).

137847640 is an abundant number, since it is smaller than the sum of its proper divisors (217982120).

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

137847640 is a wasteful number, since it uses less digits than its factorization.

137847640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 137847640 is about 11740.8534613119. The cubic root of 137847640 is about 516.5746757254.

The spelling of 137847640 in words is "one hundred thirty-seven million, eight hundred forty-seven thousand, six hundred forty".