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138541920 = 253511191381
BaseRepresentation
bin10000100000111…
…11101101100000
3100122200122210020
420100133231200
5240431320140
621425233440
73301405206
oct1020375540
9318618706
10138541920
1171226660
123a492880
132291978a
1414585076
15c2696d0
hex841fb60

138541920 has 192 divisors, whose sum is σ = 501500160. Its totient is φ = 31795200.

The previous prime is 138541913. The next prime is 138541927. The reversal of 138541920 is 29145831.

It is an interprime number because it is at equal distance from previous prime (138541913) and next prime (138541927).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138541927) 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, 99630 + ... + 101010.

It is an arithmetic number, because the mean of its divisors is an integer number (2611980).

Almost surely, 2138541920 is an apocalyptic number.

138541920 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 138541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250750080).

138541920 is an abundant number, since it is smaller than the sum of its proper divisors (362958240).

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

138541920 is a wasteful number, since it uses less digits than its factorization.

138541920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 138541920 is about 11770.3831713330. The cubic root of 138541920 is about 517.4404795136.

The spelling of 138541920 in words is "one hundred thirty-eight million, five hundred forty-one thousand, nine hundred twenty".