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136974000 = 2435337617
BaseRepresentation
bin10000010101000…
…00111010110000
3100112202000000010
420022200322300
5240031132000
621331454520
73252155052
oct1012407260
9315660003
10136974000
1170355659
1239a57440
13224bac07
14142978d2
15c059d50
hex82a0eb0

136974000 has 160 divisors (see below), whose sum is σ = 454274496. Its totient is φ = 35481600.

The previous prime is 136973971. The next prime is 136974001. The reversal of 136974000 is 479631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (136974001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221692 + ... + 222308.

Almost surely, 2136974000 is an apocalyptic number.

136974000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227137248).

136974000 is an abundant number, since it is smaller than the sum of its proper divisors (317300496).

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

136974000 is a wasteful number, since it uses less digits than its factorization.

136974000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 136974000 is about 11703.5891930638. The cubic root of 136974000 is about 515.4810599138.

The spelling of 136974000 in words is "one hundred thirty-six million, nine hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 617 740 750 888 925 1000 1110 1200 1234 1480 1500 1776 1850 1851 2000 2220 2468 2775 2960 3000 3085 3700 3702 4440 4625 4936 5550 6000 6170 7400 7404 8880 9250 9255 9872 11100 12340 13875 14800 14808 15425 18500 18510 22200 22829 24680 27750 29616 30850 37000 37020 44400 45658 46275 49360 55500 61700 68487 74000 74040 77125 91316 92550 111000 114145 123400 136974 148080 154250 182632 185100 222000 228290 231375 246800 273948 308500 342435 365264 370200 456580 462750 547896 570725 617000 684870 740400 913160 925500 1095792 1141450 1234000 1369740 1712175 1826320 1851000 2282900 2739480 2853625 3424350 3702000 4565800 5478960 5707250 6848700 8560875 9131600 11414500 13697400 17121750 22829000 27394800 34243500 45658000 68487000 136974000