137000160 has 360 divisors, whose sum is σ = 545014008. Its totient is φ = 32140800.

The previous prime is 137000153. The next prime is 137000179. The reversal of 137000160 is 61000731.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4419345 + ... + 4419375.

Almost surely, 2^137000160 is an apocalyptic number.

137000160 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 137000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272507004).

137000160 is an abundant number, since it is smaller than the sum of its proper divisors (408013848).

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

137000160 is a wasteful number, since it uses less digits than its factorization.

137000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 137000160 is about 11704.7067455789. The cubic root of 137000160 is about 515.5138742341.

Adding to 137000160 its reverse (61000731), we get a palindrome (198000891).

The spelling of 137000160 in words is "one hundred thirty-seven million, one hundred sixty", and thus it is an aban number.