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136122000 = 2435372463
BaseRepresentation
bin10000001110100…
…00111010010000
3100111010201021120
420013100322100
5234321401000
621301322240
73242006100
oct1007207220
9314121246
10136122000
116a923523
1239706380
1322280181
1414115200
15be3c6a0
hex81d0e90

136122000 has 240 divisors, whose sum is σ = 511610112. Its totient is φ = 31046400.

The previous prime is 136121963. The next prime is 136122013. The reversal of 136122000 is 221631.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293769 + ... + 294231.

Almost surely, 2136122000 is an apocalyptic number.

136122000 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 136122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255805056).

136122000 is an abundant number, since it is smaller than the sum of its proper divisors (375488112).

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

136122000 is a wasteful number, since it uses less digits than its factorization.

136122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 136122000 is about 11667.1333240004. The cubic root of 136122000 is about 514.4100448961.

Adding to 136122000 its reverse (221631), we get a palindrome (136343631).

The spelling of 136122000 in words is "one hundred thirty-six million, one hundred twenty-two thousand".