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137132050 = 252111671493
BaseRepresentation
bin10000010110001…
…11100000010010
3100120001000210211
420023013200102
5240101211200
621335114334
73253413616
oct1013074022
9316030724
10137132050
1170453380
1239b129aa
1322544b33
14142d9346
15c08baba
hex82c7812

137132050 has 48 divisors (see below), whose sum is σ = 280107072. Its totient is φ = 49534400.

The previous prime is 137132011. The next prime is 137132059. The reversal of 137132050 is 50231731.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (137132059) 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, 91104 + ... + 92596.

It is an arithmetic number, because the mean of its divisors is an integer number (5835564).

Almost surely, 2137132050 is an apocalyptic number.

137132050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137132050 is an abundant number, since it is smaller than the sum of its proper divisors (142975022).

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

137132050 is a wasteful number, since it uses less digits than its factorization.

137132050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 137132050 is about 11710.3394485386. The cubic root of 137132050 is about 515.6792495110.

Adding to 137132050 its reverse (50231731), we get a palindrome (187363781).

The spelling of 137132050 in words is "one hundred thirty-seven million, one hundred thirty-two thousand, fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 167 275 334 550 835 1493 1670 1837 2986 3674 4175 7465 8350 9185 14930 16423 18370 32846 37325 45925 74650 82115 91850 164230 249331 410575 498662 821150 1246655 2493310 2742641 5485282 6233275 12466550 13713205 27426410 68566025 137132050