137526534420 has 192 divisors, whose sum is σ = 452487168000. Its totient is φ = 30861388800.

The previous prime is 137526534413. The next prime is 137526534427. The reversal of 137526534420 is 24435625731.

It is an interprime number because it is at equal distance from previous prime (137526534413) and next prime (137526534427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137526534427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324456 + ... + 616704.

It is an arithmetic number, because the mean of its divisors is an integer number (2356704000).

Almost surely, 2^137526534420 is an apocalyptic number.

137526534420 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 137526534420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226243584000).

137526534420 is an abundant number, since it is smaller than the sum of its proper divisors (314960633580).

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

137526534420 is a wasteful number, since it uses less digits than its factorization.

137526534420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292326 (or 292324 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 137526534420 in words is "one hundred thirty-seven billion, five hundred twenty-six million, five hundred thirty-four thousand, four hundred twenty".