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137142101 = 223733839
BaseRepresentation
bin10000010110010…
…01111101010101
3100120001112121002
420023021331111
5240102021401
621335233045
73253455125
oct1013117525
9316045532
10137142101
117045a988
1239b18785
1322549595
14142dcc85
15c08ea6b
hex82c9f55

137142101 has 8 divisors (see below), whose sum is σ = 138109440. Its totient is φ = 136178352.

The previous prime is 137142097. The next prime is 137142149. The reversal of 137142101 is 101241731.

It is a happy number.

137142101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137142101 - 22 = 137142097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137142151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163040 + ... + 163878.

It is an arithmetic number, because the mean of its divisors is an integer number (17263680).

Almost surely, 2137142101 is an apocalyptic number.

It is an amenable number.

137142101 is a deficient number, since it is larger than the sum of its proper divisors (967339).

137142101 is an equidigital number, since it uses as much as digits as its factorization.

137142101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 137142101 is about 11710.7685913436. The cubic root of 137142101 is about 515.6918479894.

Adding to 137142101 its reverse (101241731), we get a palindrome (238383832).

The spelling of 137142101 in words is "one hundred thirty-seven million, one hundred forty-two thousand, one hundred one".

Divisors: 1 223 733 839 163459 187097 614987 137142101