5142377000 has 64 divisors (see below), whose sum is σ = 12051795600. Its totient is φ = 2053766400.

The previous prime is 5142376973. The next prime is 5142377011. The reversal of 5142377000 is 7732415.

It can be written as a sum of positive squares in 8 ways, for example, as 44702596 + 5097674404 = 6686^2 + 71398^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705374 + ... + 712626.

Almost surely, 2^5142377000 is an apocalyptic number.

5142377000 is a gapful number since it is divisible by the number (50) 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 5142377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6025897800).

5142377000 is an abundant number, since it is smaller than the sum of its proper divisors (6909418600).

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

5142377000 is a wasteful number, since it uses less digits than its factorization.

5142377000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7983 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 5142377000 is about 71710.3688457952. The cubic root of 5142377000 is about 1726.0550291790.

The spelling of 5142377000 in words is "five billion, one hundred forty-two million, three hundred seventy-seven thousand".