537128342100 has 324 divisors, whose sum is σ = 2031012756864. Its totient is φ = 122771920320.

The previous prime is 537128342089. The next prime is 537128342131. The reversal of 537128342100 is 1243821735.

537128342100 is a `hidden beast` number, since 5 + 371 + 283 + 4 + 2 + 1 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 965149 + ... + 1416251.

Almost surely, 2^537128342100 is an apocalyptic number.

537128342100 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 537128342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015506378432).

537128342100 is an abundant number, since it is smaller than the sum of its proper divisors (1493884414764).

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

537128342100 is a wasteful number, since it uses less digits than its factorization.

537128342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451146 (or 451120 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 537128342100 in words is "five hundred thirty-seven billion, one hundred twenty-eight million, three hundred forty-two thousand, one hundred".