30142155600 has 360 divisors, whose sum is σ = 108703891712. Its totient is φ = 7726233600.

The previous prime is 30142155521. The next prime is 30142155611. The reversal of 30142155600 is 655124103.

30142155600 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 2 + 1 + 55 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×30142155600² (a number of 22 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 71 ways as a sum of consecutive naturals, for example, 18189972 + ... + 18191628.

Almost surely, 2^30142155600 is an apocalyptic number.

30142155600 is a gapful number since it is divisible by the number (30) 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 30142155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54351945856).

30142155600 is an abundant number, since it is smaller than the sum of its proper divisors (78561736112).

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

30142155600 is a wasteful number, since it uses less digits than its factorization.

30142155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 30142155600 its reverse (655124103), we get a palindrome (30797279703).

The spelling of 30142155600 in words is "thirty billion, one hundred forty-two million, one hundred fifty-five thousand, six hundred".