125133162000 has 480 divisors, whose sum is σ = 511971767424. Its totient is φ = 26001024000.

The previous prime is 125133161969. The next prime is 125133162001. The reversal of 125133162000 is 261331521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125133162001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3214654 + ... + 3253346.

Almost surely, 2^125133162000 is an apocalyptic number.

125133162000 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 125133162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255985883712).

125133162000 is an abundant number, since it is smaller than the sum of its proper divisors (386838605424).

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

125133162000 is a wasteful number, since it uses less digits than its factorization.

125133162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38744 (or 38721 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 125133162000 its reverse (261331521), we get a palindrome (125394493521).

The spelling of 125133162000 in words is "one hundred twenty-five billion, one hundred thirty-three million, one hundred sixty-two thousand".