137821824 has 224 divisors, whose sum is σ = 472700640. Its totient is φ = 39191040.

The previous prime is 137821823. The next prime is 137821829. The reversal of 137821824 is 428128731.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (137821823) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 653079 + ... + 653289.

Almost surely, 2^137821824 is an apocalyptic number.

137821824 is a gapful number since it is divisible by the number (14) 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 137821824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236350320).

137821824 is an abundant number, since it is smaller than the sum of its proper divisors (334878816).

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

137821824 is an frugal number, since it uses more digits than its factorization.

137821824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

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

The square root of 137821824 is about 11739.7540008298. The cubic root of 137821824 is about 516.5424258094.

The spelling of 137821824 in words is "one hundred thirty-seven million, eight hundred twenty-one thousand, eight hundred twenty-four".