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138532608 = 283260127
BaseRepresentation
bin10000100000111…
…01011100000000
3100122200012000100
420100131130000
5240431020413
621425122400
73301336104
oct1020353400
9318605010
10138532608
117121a665
123a489400
1322915476
1414581904
15c266a73
hex841d700

138532608 has 54 divisors (see below), whose sum is σ = 399430304. Its totient is φ = 46176768.

The previous prime is 138532607. The next prime is 138532621. The reversal of 138532608 is 806235831.

138532608 is a `hidden beast` number, since 13 + 8 + 5 + 32 + 608 = 666.

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 (138532607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27760 + ... + 32367.

Almost surely, 2138532608 is an apocalyptic number.

138532608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138532608 is an abundant number, since it is smaller than the sum of its proper divisors (260897696).

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

138532608 is an equidigital number, since it uses as much as digits as its factorization.

138532608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60149 (or 60132 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 138532608 is about 11769.9875955755. The cubic root of 138532608 is about 517.4288861183.

It can be divided in two parts, 13853 and 2608, that added together give a palindrome (16461).

The spelling of 138532608 in words is "one hundred thirty-eight million, five hundred thirty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 60127 120254 180381 240508 360762 481016 541143 721524 962032 1082286 1443048 1924064 2164572 2886096 3848128 4329144 5772192 7696256 8658288 11544384 15392512 17316576 23088768 34633152 46177536 69266304 138532608