131625120 has 192 divisors, whose sum is σ = 458752896. Its totient is φ = 31457280.

The previous prime is 131625089. The next prime is 131625127. The reversal of 131625120 is 21526131.

Added to its reverse (21526131) it gives a triangular number (153151251 = T₁₇₅₀₁).

It is not an unprimeable number, because it can be changed into a prime (131625127) 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, 512032 + ... + 512288.

It is an arithmetic number, because the mean of its divisors is an integer number (2389338).

Almost surely, 2^131625120 is an apocalyptic number.

131625120 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 131625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229376448).

131625120 is an abundant number, since it is smaller than the sum of its proper divisors (327127776).

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

131625120 is a wasteful number, since it uses less digits than its factorization.

131625120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 131625120 is about 11472.7991353462. The cubic root of 131625120 is about 508.6818710372.

Adding to 131625120 its reverse (21526131), we get a triangular number (153151251 = T₁₇₅₀₁).

The spelling of 131625120 in words is "one hundred thirty-one million, six hundred twenty-five thousand, one hundred twenty".