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137210088 = 23323248569
BaseRepresentation
bin10000010110110…
…10100011101000
3100120011222212010
420023122203220
5240111210323
621340515520
73254160261
oct1013324350
9316158763
10137210088
11704a6a74
1239b4bba0
1322571502
1414319968
15c0a4c93
hex82da8e8

137210088 has 32 divisors (see below), whose sum is σ = 357940800. Its totient is φ = 43747968.

The previous prime is 137210071. The next prime is 137210113. The reversal of 137210088 is 880012731.

It is a happy number.

137210088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123733 + ... + 124836.

It is an arithmetic number, because the mean of its divisors is an integer number (11185650).

Almost surely, 2137210088 is an apocalyptic number.

It is an amenable number.

137210088 is an abundant number, since it is smaller than the sum of its proper divisors (220730712).

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

137210088 is a wasteful number, since it uses less digits than its factorization.

137210088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248601 (or 248597 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 137210088 is about 11713.6709873549. The cubic root of 137210088 is about 515.7770504896. Note that the first 3 decimals are identical.

The spelling of 137210088 in words is "one hundred thirty-seven million, two hundred ten thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 248569 497138 745707 994276 1491414 1988552 2982828 5717087 5965656 11434174 17151261 22868348 34302522 45736696 68605044 137210088