137844001800 has 180 divisors, whose sum is σ = 478916820855. Its totient is φ = 36745799040.

The previous prime is 137844001777. The next prime is 137844001829. The reversal of 137844001800 is 8100448731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

137844001800 is a `hidden beast` number, since 1 + 3 + 78 + 4 + 400 + 180 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 133477699716 + 4366302084 = 365346^2 + 66078^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=262530.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 47253942 + ... + 47256858.

Almost surely, 2^137844001800 is an apocalyptic number.

137844001800 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 137844001800

137844001800 is an abundant number, since it is smaller than the sum of its proper divisors (341072819055).

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

137844001800 is an frugal number, since it uses more digits than its factorization.

137844001800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 137844001800 in words is "one hundred thirty-seven billion, eight hundred forty-four million, one thousand, eight hundred".