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138355992 = 23335471171
BaseRepresentation
bin10000011111100…
…10010100011000
3100122100012202000
420033302110120
5240404342432
621421241000
73300002145
oct1017622430
9318305660
10138355992
11711099a5
123a403160
1322882c68
14145373cc
15c22e57c
hex83f2518

138355992 has 64 divisors (see below), whose sum is σ = 385353600. Its totient is φ = 45995040.

The previous prime is 138355981. The next prime is 138356011. The reversal of 138355992 is 299553831.

138355992 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 559 + 92 = 666.

It is a congruent number.

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, 117567 + ... + 118737.

It is an arithmetic number, because the mean of its divisors is an integer number (6021150).

Almost surely, 2138355992 is an apocalyptic number.

138355992 is a gapful number since it is divisible by the number (12) 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 138355992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192676800).

138355992 is an abundant number, since it is smaller than the sum of its proper divisors (246997608).

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

138355992 is a wasteful number, since it uses less digits than its factorization.

138355992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1723 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 138355992 is about 11762.4823910601. The cubic root of 138355992 is about 517.2089016077.

It can be divided in two parts, 1383 and 55992, that added together give a palindrome (57375).

The spelling of 138355992 in words is "one hundred thirty-eight million, three hundred fifty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 547 1094 1171 1641 2188 2342 3282 3513 4376 4684 4923 6564 7026 9368 9846 10539 13128 14052 14769 19692 21078 28104 29538 31617 39384 42156 59076 63234 84312 118152 126468 252936 640537 1281074 1921611 2562148 3843222 5124296 5764833 7686444 11529666 15372888 17294499 23059332 34588998 46118664 69177996 138355992