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137215488 = 293157569
BaseRepresentation
bin10000010110110…
…11111000000000
3100120012021021010
420023123320000
5240111343423
621341000520
73254212104
oct1013337000
9316167233
10137215488
1170500033
1239b53140
1322573ac7
141431b904
15c0a6693
hex82dbe00

137215488 has 80 divisors (see below), whose sum is σ = 368525520. Its totient is φ = 45367296.

The previous prime is 137215487. The next prime is 137215489. The reversal of 137215488 is 884512731.

It is an interprime number because it is at equal distance from previous prime (137215487) and next prime (137215489).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137215487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240868 + ... + 241436.

It is an arithmetic number, because the mean of its divisors is an integer number (4606569).

Almost surely, 2137215488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137215488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184262760).

137215488 is an abundant number, since it is smaller than the sum of its proper divisors (231310032).

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

137215488 is an equidigital number, since it uses as much as digits as its factorization.

137215488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 731 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 137215488 is about 11713.9014849878. The cubic root of 137215488 is about 515.7838166576.

The spelling of 137215488 in words is "one hundred thirty-seven million, two hundred fifteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 512 569 628 768 942 1138 1256 1536 1707 1884 2276 2512 3414 3768 4552 5024 6828 7536 9104 10048 13656 15072 18208 20096 27312 30144 36416 40192 54624 60288 72832 80384 89333 109248 120576 145664 178666 218496 241152 267999 291328 357332 436992 535998 714664 873984 1071996 1429328 2143992 2858656 4287984 5717312 8575968 11434624 17151936 22869248 34303872 45738496 68607744 137215488