102132738 has 40 divisors (see below), whose sum is σ = 229452300. Its totient is φ = 33955200.

The previous prime is 102132721. The next prime is 102132761. The reversal of 102132738 is 837231201.

It can be written as a sum of positive squares in 2 ways, for example, as 84768849 + 17363889 = 9207^2 + 4167^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96838 + ... + 97886.

Almost surely, 2^102132738 is an apocalyptic number.

102132738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102132738 is an abundant number, since it is smaller than the sum of its proper divisors (127319562).

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

102132738 is a wasteful number, since it uses less digits than its factorization.

102132738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102132738 is about 10106.0743120165. The cubic root of 102132738 is about 467.4354632715.

Adding to 102132738 its reverse (837231201), we get a palindrome (939363939).

The spelling of 102132738 in words is "one hundred two million, one hundred thirty-two thousand, seven hundred thirty-eight".