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135451900 = 22521379887
BaseRepresentation
bin10000001001011…
…01010011111100
3100102212200002001
420010231103330
5234133430100
621235112044
73233215333
oct1004552374
9312780061
10135451900
116a506021
1239442624
13220a716c
1413dbcd1a
15bd58d6a
hex812d4fc

135451900 has 36 divisors (see below), whose sum is σ = 296106048. Its totient is φ = 53779840.

The previous prime is 135451891. The next prime is 135451909. The reversal of 135451900 is 9154531.

It is an interprime number because it is at equal distance from previous prime (135451891) and next prime (135451909).

It is a super-2 number, since 2×1354519002 = 36694434427220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135451909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8757 + ... + 18643.

It is an arithmetic number, because the mean of its divisors is an integer number (8225168).

Almost surely, 2135451900 is an apocalyptic number.

135451900 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 135451900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148053024).

135451900 is an abundant number, since it is smaller than the sum of its proper divisors (160654148).

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

135451900 is a wasteful number, since it uses less digits than its factorization.

135451900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 135451900 is about 11638.3804715261. The cubic root of 135451900 is about 513.5645451194.

The spelling of 135451900 in words is "one hundred thirty-five million, four hundred fifty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 2740 3425 6850 9887 13700 19774 39548 49435 98870 197740 247175 494350 988700 1354519 2709038 5418076 6772595 13545190 27090380 33862975 67725950 135451900