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138458916 = 22332235749
BaseRepresentation
bin10000100000010…
…11011100100100
3100122112102221000
420100023130210
5240421141131
621423353300
73300611211
oct1020133444
9318472830
10138458916
117117a262
123a452830
13228baa6b
1414562b08
15c24ece6
hex840b724

138458916 has 48 divisors (see below), whose sum is σ = 360640000. Its totient is φ = 45938016.

The previous prime is 138458893. The next prime is 138458951. The reversal of 138458916 is 619854831.

138458916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21210 + ... + 26958.

Almost surely, 2138458916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138458916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180320000).

138458916 is an abundant number, since it is smaller than the sum of its proper divisors (222181084).

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

138458916 is a wasteful number, since it uses less digits than its factorization.

138458916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5985 (or 5977 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 138458916 is about 11766.8566745754. The cubic root of 138458916 is about 517.3371216037.

The spelling of 138458916 in words is "one hundred thirty-eight million, four hundred fifty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 669 892 1338 2007 2676 4014 5749 6021 8028 11498 12042 17247 22996 24084 34494 51741 68988 103482 155223 206964 310446 620892 1282027 2564054 3846081 5128108 7692162 11538243 15384324 23076486 34614729 46152972 69229458 138458916