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138378285 = 32529107991
BaseRepresentation
bin10000011111101…
…11110000101101
3100122101100022200
420033313300231
5240411101120
621421532113
73300124143
oct1017676055
9318340280
10138378285
1171124721
123a414039
1322890156
1414541593
15c235e90
hex83f7c2d

138378285 has 48 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 70519680.

The previous prime is 138378271. The next prime is 138378287. The reversal of 138378285 is 582873831.

It is not a de Polignac number, because 138378285 - 216 = 138312749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 138378285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138378287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139140 + ... + 140130.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2138378285 is an apocalyptic number.

138378285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138378285 is a deficient number, since it is larger than the sum of its proper divisors (112319955).

138378285 is a wasteful number, since it uses less digits than its factorization.

138378285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1135 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 138378285 is about 11763.4299844901. The cubic root of 138378285 is about 517.2366790309.

It can be divided in two parts, 13837 and 8285, that added together give a palindrome (22122).

The spelling of 138378285 in words is "one hundred thirty-eight million, three hundred seventy-eight thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 29 45 87 107 145 261 321 435 535 963 991 1305 1605 2973 3103 4815 4955 8919 9309 14865 15515 27927 28739 44595 46545 86217 106037 139635 143695 258651 318111 431085 530185 954333 1293255 1590555 3075073 4771665 9225219 15375365 27675657 46126095 138378285