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137335630 = 2573419449
BaseRepresentation
bin10000010111110…
…01001101001110
3100120102101001211
420023321031032
5240124220010
621343325034
73255222265
oct1013711516
9316371054
10137335630
1170582323
1239bb077a
13225b66b3
141434d5dc
15c0cc08a
hex82f934e

137335630 has 32 divisors (see below), whose sum is σ = 251748000. Its totient is φ = 53932032.

The previous prime is 137335621. The next prime is 137335631. The reversal of 137335630 is 36533731.

137335630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1373356302 = 37722150534993800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137335592 and 137335601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137335631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305646 + ... + 306094.

It is an arithmetic number, because the mean of its divisors is an integer number (7867125).

Almost surely, 2137335630 is an apocalyptic number.

137335630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137335630 is a deficient number, since it is larger than the sum of its proper divisors (114412370).

137335630 is a wasteful number, since it uses less digits than its factorization.

137335630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948.

The product of its (nonzero) digits is 17010, while the sum is 31.

The square root of 137335630 is about 11719.0285433563. The cubic root of 137335630 is about 515.9343079843.

The spelling of 137335630 in words is "one hundred thirty-seven million, three hundred thirty-five thousand, six hundred thirty".

Divisors: 1 2 5 10 73 146 365 419 449 730 838 898 2095 2245 4190 4490 30587 32777 61174 65554 152935 163885 188131 305870 327770 376262 940655 1881310 13733563 27467126 68667815 137335630