137916000 has 192 divisors, whose sum is σ = 502407360. Its totient is φ = 36748800.

The previous prime is 137915989. The next prime is 137916011. The reversal of 137916000 is 619731.

It is an interprime number because it is at equal distance from previous prime (137915989) and next prime (137916011).

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107362 + ... + 108638.

It is an arithmetic number, because the mean of its divisors is an integer number (2616705).

Almost surely, 2^137916000 is an apocalyptic number.

137916000 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 137916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251203680).

137916000 is an abundant number, since it is smaller than the sum of its proper divisors (364491360).

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

137916000 is a wasteful number, since it uses less digits than its factorization.

137916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 137916000 is about 11743.7643028119. The cubic root of 137916000 is about 516.6600531007.

It can be divided in two parts, 13791 and 6000, that added together give a palindrome (19791).

The spelling of 137916000 in words is "one hundred thirty-seven million, nine hundred sixteen thousand".