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131420160 = 2123252331
BaseRepresentation
bin1111101010101…
…01000000000000
3100011021211120100
413311111000000
5232120421120
621012442400
73154024104
oct765250000
9304254510
10131420160
1168201a03
1238019400
13212c5011
141364d904
15b80e490
hex7d55000

131420160 has 312 divisors, whose sum is σ = 490673664. Its totient is φ = 32440320.

The previous prime is 131420153. The next prime is 131420171. The reversal of 131420160 is 61024131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4239345 + ... + 4239375.

It is an arithmetic number, because the mean of its divisors is an integer number (1572672).

Almost surely, 2131420160 is an apocalyptic number.

131420160 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 131420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245336832).

131420160 is an abundant number, since it is smaller than the sum of its proper divisors (359253504).

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

131420160 is a wasteful number, since it uses less digits than its factorization.

131420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131420160 is about 11463.8632231896. The cubic root of 131420160 is about 508.4177026196.

Adding to 131420160 its reverse (61024131), we get a palindrome (192444291).

The spelling of 131420160 in words is "one hundred thirty-one million, four hundred twenty thousand, one hundred sixty".