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138812500 = 22562221
BaseRepresentation
bin10000100011000…
…01110001010100
3100200012101221201
420101201301110
5241014000000
621435122244
73303613111
oct1021416124
9320171851
10138812500
11713a0982
123a5a3384
13229b2998
1414615908
15c2be96a
hex8461c54

138812500 has 42 divisors (see below), whose sum is σ = 303785174. Its totient is φ = 55500000.

The previous prime is 138812441. The next prime is 138812501. The reversal of 138812500 is 5218831.

It can be written as a sum of positive squares in 7 ways, for example, as 138344644 + 467856 = 11762^2 + 684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138812501) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 61390 + ... + 63610.

Almost surely, 2138812500 is an apocalyptic number.

138812500 is a gapful number since it is divisible by the number (10) 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 138812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151892587).

138812500 is an abundant number, since it is smaller than the sum of its proper divisors (164972674).

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

138812500 is an frugal number, since it uses more digits than its factorization.

138812500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 138812500 is about 11781.8716679482. The cubic root of 138812500 is about 517.7771236986. Note that the first 3 decimals are identical.

The spelling of 138812500 in words is "one hundred thirty-eight million, eight hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2221 2500 3125 4442 6250 8884 11105 12500 15625 22210 31250 44420 55525 62500 111050 222100 277625 555250 1110500 1388125 2776250 5552500 6940625 13881250 27762500 34703125 69406250 138812500