137434024 has 96 divisors (see below), whose sum is σ = 326781000. Its totient is φ = 53706240.

The previous prime is 137434019. The next prime is 137434027. The reversal of 137434024 is 420434731.

It can be written as a sum of positive squares in 4 ways, for example, as 23328900 + 114105124 = 4830^2 + 10682^2 .

It is a super-2 number, since 2×137434024² = 37776221905665152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 137433983 and 137434001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137434027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759214 + ... + 759394.

Almost surely, 2^137434024 is an apocalyptic number.

137434024 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 137434024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163390500).

137434024 is an abundant number, since it is smaller than the sum of its proper divisors (189346976).

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

137434024 is a wasteful number, since it uses less digits than its factorization.

137434024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 137434024 is about 11723.2258359208. The cubic root of 137434024 is about 516.0574921418.

Adding to 137434024 its reverse (420434731), we get a palindrome (557868755).

The spelling of 137434024 in words is "one hundred thirty-seven million, four hundred thirty-four thousand, twenty-four".