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138132501 = 31383139307
BaseRepresentation
bin10000011101110…
…11110000010101
3100121220212011120
420032323300111
5240330220001
621412354153
73265051443
oct1016736025
9317825146
10138132501
1170a76aa1
123a315959
1322805310
14144b9b93
15c1d8236
hex83bbc15

138132501 has 32 divisors (see below), whose sum is σ = 202836480. Its totient is φ = 83104704.

The previous prime is 138132479. The next prime is 138132509. The reversal of 138132501 is 105231831.

138132501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138132501 - 26 = 138132437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138132509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449790 + ... + 450096.

It is an arithmetic number, because the mean of its divisors is an integer number (6338640).

Almost surely, 2138132501 is an apocalyptic number.

It is an amenable number.

138132501 is a deficient number, since it is larger than the sum of its proper divisors (64703979).

138132501 is a wasteful number, since it uses less digits than its factorization.

138132501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 138132501 is about 11752.9783884767. The cubic root of 138132501 is about 516.9302633199.

The spelling of 138132501 in words is "one hundred thirty-eight million, one hundred thirty-two thousand, five hundred one".

Divisors: 1 3 13 39 83 139 249 307 417 921 1079 1807 3237 3991 5421 11537 11973 25481 34611 42673 76443 128019 149981 331253 449943 554749 993759 1664247 3541859 10625577 46044167 138132501