131451000 has 128 divisors (see below), whose sum is σ = 420076800. Its totient is φ = 34204800.

The previous prime is 131450999. The next prime is 131451007. The reversal of 131451000 is 154131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131451007) 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, 128491 + ... + 129509.

It is an arithmetic number, because the mean of its divisors is an integer number (3281850).

Almost surely, 2^131451000 is an apocalyptic number.

131451000 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 131451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210038400).

131451000 is an abundant number, since it is smaller than the sum of its proper divisors (288625800).

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

131451000 is a wasteful number, since it uses less digits than its factorization.

131451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 131451000 is about 11465.2082405860. The cubic root of 131451000 is about 508.4574691608.

The spelling of 131451000 in words is "one hundred thirty-one million, four hundred fifty-one thousand".