542316232137300 has 144 divisors (see below), whose sum is σ = 1596502992268800. Its totient is φ = 142094668361600.

The previous prime is 542316232137233. The next prime is 542316232137313. The reversal of 542316232137300 is 3731232613245.

It is a happy number.

It is a super-2 number, since 2×542316232137300² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27287185 + ... + 42769415.

It is an arithmetic number, because the mean of its divisors is an integer number (11086826335200).

Almost surely, 2^{542316232137300} is an apocalyptic number.

542316232137300 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 542316232137300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798251496134400).

542316232137300 is an abundant number, since it is smaller than the sum of its proper divisors (1054186760131500).

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

542316232137300 is a wasteful number, since it uses less digits than its factorization.

542316232137300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15484286 (or 15484279 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 542316232137300 in words is "five hundred forty-two trillion, three hundred sixteen billion, two hundred thirty-two million, one hundred thirty-seven thousand, three hundred".