137956000 has 192 divisors, whose sum is σ = 418279680. Its totient is φ = 43545600.

The previous prime is 137955989. The next prime is 137956009. The reversal of 137956000 is 659731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137956009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363811 + ... + 364189.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^137956000 is an apocalyptic number.

137956000 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 137956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

137956000 is an abundant number, since it is smaller than the sum of its proper divisors (280323680).

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

137956000 is a wasteful number, since it uses less digits than its factorization.

137956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 137956000 is about 11745.4672108009. The cubic root of 137956000 is about 516.7099975221.

The spelling of 137956000 in words is "one hundred thirty-seven million, nine hundred fifty-six thousand".