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137132450 = 25271330139
BaseRepresentation
bin10000010110001…
…11100110100010
3100120001001100122
420023013212202
5240101214300
621335120242
73253415030
oct1013074642
9316031318
10137132450
1170453704
1239b13082
1322545080
14142d9550
15c08bc85
hex82c79a2

137132450 has 48 divisors (see below), whose sum is σ = 313938240. Its totient is φ = 43398720.

The previous prime is 137132423. The next prime is 137132459. The reversal of 137132450 is 54231731.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137132459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10520 + ... + 19619.

It is an arithmetic number, because the mean of its divisors is an integer number (6540380).

Almost surely, 2137132450 is an apocalyptic number.

137132450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137132450 is an abundant number, since it is smaller than the sum of its proper divisors (176805790).

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

137132450 is a wasteful number, since it uses less digits than its factorization.

137132450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30171 (or 30166 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 137132450 is about 11710.3565274504. The cubic root of 137132450 is about 515.6797509048.

The spelling of 137132450 in words is "one hundred thirty-seven million, one hundred thirty-two thousand, four hundred fifty".

Divisors: 1 2 5 7 10 13 14 25 26 35 50 65 70 91 130 175 182 325 350 455 650 910 2275 4550 30139 60278 150695 210973 301390 391807 421946 753475 783614 1054865 1506950 1959035 2109730 2742649 3918070 5274325 5485298 9795175 10548650 13713245 19590350 27426490 68566225 137132450