137970 has 64 divisors (see below), whose sum is σ = 426240. Its totient is φ = 31104.

The previous prime is 137957. The next prime is 137983. The reversal of 137970 is 79731.

137970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137957) and next prime (137983).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1854 + ... + 1926.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

2¹³⁷⁹⁷⁰ is an apocalyptic number.

137970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213120).

137970 is an abundant number, since it is smaller than the sum of its proper divisors (288270).

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

137970 is a wasteful number, since it uses less digits than its factorization.

137970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 137970 is about 371.4431315827. The cubic root of 137970 is about 51.6727475789.

The spelling of 137970 in words is "one hundred thirty-seven thousand, nine hundred seventy".