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137875994250 = 23537379127251
BaseRepresentation
bin1000000001101000001…
…1001011011010001010
3111011212211000012121120
42000122003023122022
54224332223304000
6143201145020110
712650460420501
oct2003203133212
9434784005546
10137875994250
115352244a195
122287a484636
131000381a667
14695d4d3838
1538be5166a0
hex201a0cb68a

137875994250 has 256 divisors, whose sum is σ = 357468733440. Its totient is φ = 35380800000.

The previous prime is 137875994233. The next prime is 137875994257. The reversal of 137875994250 is 52499578731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137875994257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 549306625 + ... + 549306875.

It is an arithmetic number, because the mean of its divisors is an integer number (1396362240).

Almost surely, 2137875994250 is an apocalyptic number.

137875994250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137875994250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178734366720).

137875994250 is an abundant number, since it is smaller than the sum of its proper divisors (219592739190).

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

137875994250 is a wasteful number, since it uses less digits than its factorization.

137875994250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 137875994250 in words is "one hundred thirty-seven billion, eight hundred seventy-five million, nine hundred ninety-four thousand, two hundred fifty".