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137642076 = 2232111326737
BaseRepresentation
bin10000011010001…
…00000001011100
3100120222221102200
420031010001130
5240214021301
621354051500
73260636565
oct1015040134
9316887380
10137642076
1170771590
123a119b90
1322693020
14143cd16c
15c13cc86
hex834405c

137642076 has 72 divisors (see below), whose sum is σ = 408770544. Its totient is φ = 38499840.

The previous prime is 137642059. The next prime is 137642083. The reversal of 137642076 is 670246731.

137642076 is a `hidden beast` number, since 1 + 3 + 7 + 642 + 0 + 7 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137642076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8221 + ... + 18516.

Almost surely, 2137642076 is an apocalyptic number.

It is an amenable number.

137642076 is an abundant number, since it is smaller than the sum of its proper divisors (271128468).

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

137642076 is a wasteful number, since it uses less digits than its factorization.

137642076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26771 (or 26766 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 137642076 is about 11732.0959764230. The cubic root of 137642076 is about 516.3177689334.

The spelling of 137642076 in words is "one hundred thirty-seven million, six hundred forty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 26737 53474 80211 106948 160422 240633 294107 320844 347581 481266 588214 695162 882321 962532 1042743 1176428 1390324 1764642 2085486 2646963 3128229 3529284 3823391 4170972 5293926 6256458 7646782 10587852 11470173 12512916 15293564 22940346 34410519 45880692 68821038 137642076