137970000 has 400 divisors, whose sum is σ = 573316480. Its totient is φ = 31104000.

The previous prime is 137969989. The next prime is 137970017. The reversal of 137970000 is 79731.

It is a tau number, because it is divible by the number of its divisors (400).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1889964 + ... + 1890036.

Almost surely, 2^137970000 is an apocalyptic number.

137970000 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 137970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286658240).

137970000 is an abundant number, since it is smaller than the sum of its proper divisors (435346480).

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

137970000 is an equidigital number, since it uses as much as digits as its factorization.

137970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

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

The square root of 137970000 is about 11746.0631702711. The cubic root of 137970000 is about 516.7274757888.

The spelling of 137970000 in words is "one hundred thirty-seven million, nine hundred seventy thousand".