2138129532 has 108 divisors (see below), whose sum is σ = 6789492528. Its totient is φ = 555350400.

The previous prime is 2138129531. The next prime is 2138129563. The reversal of 2138129532 is 2359218312.

2138129532 is a `hidden beast` number, since 21 + 3 + 81 + 29 + 532 = 666.

It is a super-2 number, since 2×2138129532² = 9143195791221078048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138129531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4569 + ... + 65552.

Almost surely, 2^2138129532 is an apocalyptic number.

2138129532 is a gapful number since it is divisible by the number (22) 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 2138129532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394746264).

2138129532 is an abundant number, since it is smaller than the sum of its proper divisors (4651362996).

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

2138129532 is a wasteful number, since it uses less digits than its factorization.

2138129532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70160 (or 70144 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 2138129532 is about 46239.9127594333. The cubic root of 2138129532 is about 1288.2831821759.

The spelling of 2138129532 in words is "two billion, one hundred thirty-eight million, one hundred twenty-nine thousand, five hundred thirty-two".