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137210541 = 3133795087
BaseRepresentation
bin10000010110110…
…10101010101101
3100120012000110220
420023122222231
5240111214131
621340521553
73254161506
oct1013325255
9316160426
10137210541
11704a7346
1239b502b9
1322571790
1414319bad
15c0a4e96
hex82daaad

137210541 has 16 divisors (see below), whose sum is σ = 202347264. Its totient is φ = 82154304.

The previous prime is 137210539. The next prime is 137210543. The reversal of 137210541 is 145012731.

137210541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137210539) and next prime (137210543).

It is not a de Polignac number, because 137210541 - 21 = 137210539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137210543) 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, 46101 + ... + 48986.

It is an arithmetic number, because the mean of its divisors is an integer number (12646704).

Almost surely, 2137210541 is an apocalyptic number.

It is an amenable number.

137210541 is a deficient number, since it is larger than the sum of its proper divisors (65136723).

137210541 is a wasteful number, since it uses less digits than its factorization.

137210541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95140.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 137210541 is about 11713.6903237195. The cubic root of 137210541 is about 515.7776181027. Note that the first 3 decimals are identical.

The spelling of 137210541 in words is "one hundred thirty-seven million, two hundred ten thousand, five hundred forty-one".

Divisors: 1 3 13 37 39 111 481 1443 95087 285261 1236131 3518219 3708393 10554657 45736847 137210541