138083528226132 has 192 divisors, whose sum is σ = 363102721900800. Its totient is φ = 45940447005696.

The previous prime is 138083528226101. The next prime is 138083528226221. The reversal of 138083528226132 is 231622825380831.

138083528226132 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 8 + 3 + 528 + 22 + 61 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14694422058 + ... + 14694431454.

It is an arithmetic number, because the mean of its divisors is an integer number (1891160009900).

Almost surely, 2^{138083528226132} is an apocalyptic number.

138083528226132 is a gapful number since it is divisible by the number (12) 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 138083528226132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181551360950400).

138083528226132 is an abundant number, since it is smaller than the sum of its proper divisors (225019193674668).

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

138083528226132 is an equidigital number, since it uses as much as digits as its factorization.

138083528226132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12434 (or 12414 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 138083528226132 in words is "one hundred thirty-eight trillion, eighty-three billion, five hundred twenty-eight million, two hundred twenty-six thousand, one hundred thirty-two".