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137661450 = 23527911617
BaseRepresentation
bin10000011010010…
…00110000001010
3100121000221000020
420031020300022
5240220131300
621354321310
73261050223
oct1015106012
9317027006
10137661450
11707850a3
123a129236
132269baa4
14143d624a
15c1438a0
hex8348c0a

137661450 has 48 divisors (see below), whose sum is σ = 345751680. Its totient is φ = 36241920.

The previous prime is 137661439. The next prime is 137661451. The reversal of 137661450 is 54166731.

It is a super-2 number, since 2×1376614502 = 37901349632205000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137661451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6042 + ... + 17658.

It is an arithmetic number, because the mean of its divisors is an integer number (7203160).

Almost surely, 2137661450 is an apocalyptic number.

137661450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137661450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172875840).

137661450 is an abundant number, since it is smaller than the sum of its proper divisors (208090230).

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

137661450 is a wasteful number, since it uses less digits than its factorization.

137661450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11711 (or 11706 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 137661450 is about 11732.9216310346. The cubic root of 137661450 is about 516.3419928031.

It can be divided in two parts, 1376 and 61450, that added together give a palindrome (62826).

The spelling of 137661450 in words is "one hundred thirty-seven million, six hundred sixty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 79 150 158 237 395 474 790 1185 1975 2370 3950 5925 11617 11850 23234 34851 58085 69702 116170 174255 290425 348510 580850 871275 917743 1742550 1835486 2753229 4588715 5506458 9177430 13766145 22943575 27532290 45887150 68830725 137661450