137944800 has 648 divisors, whose sum is σ = 625178736. Its totient is φ = 28385280.

The previous prime is 137944799. The next prime is 137944811. The reversal of 137944800 is 8449731.

137944800 = T₃₈₅ + T₃₈₆ + ... + T₉₅₉.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5997589 + ... + 5997611.

It is an arithmetic number, because the mean of its divisors is an integer number (964782).

Almost surely, 2^137944800 is an apocalyptic number.

137944800 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 137944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312589368).

137944800 is an abundant number, since it is smaller than the sum of its proper divisors (487233936).

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

137944800 is a wasteful number, since it uses less digits than its factorization.

137944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137944800 is about 11744.9904214520. The cubic root of 137944800 is about 516.6960140574.

The spelling of 137944800 in words is "one hundred thirty-seven million, nine hundred forty-four thousand, eight hundred".