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137572141 = 7193161547
BaseRepresentation
bin10000011001100…
…10111100101101
3100120212101111111
420030302330231
5240204302031
621352352021
73260225650
oct1014627455
9316771444
10137572141
1170723a93
123a0a5611
132266a245
14143b1897
15c1271b1
hex8332f2d

137572141 has 32 divisors (see below), whose sum is σ = 173957120. Its totient is φ = 106142400.

The previous prime is 137572121. The next prime is 137572151. The reversal of 137572141 is 141275731.

137572141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-137572141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137572121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251230 + ... + 251776.

It is an arithmetic number, because the mean of its divisors is an integer number (5436160).

Almost surely, 2137572141 is an apocalyptic number.

It is an amenable number.

137572141 is a deficient number, since it is larger than the sum of its proper divisors (36384979).

137572141 is a wasteful number, since it uses less digits than its factorization.

137572141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665.

The product of its digits is 5880, while the sum is 31.

The square root of 137572141 is about 11729.1150987617. The cubic root of 137572141 is about 516.2303082734.

The spelling of 137572141 in words is "one hundred thirty-seven million, five hundred seventy-two thousand, one hundred forty-one".

Divisors: 1 7 19 31 61 133 217 427 547 589 1159 1891 3829 4123 8113 10393 13237 16957 33367 35929 72751 118699 233569 251503 322183 633973 1034377 2255281 4437811 7240639 19653163 137572141