146834576100 has 243 divisors, whose sum is σ = 471047050929. Its totient is φ = 38257689600.

The previous prime is 146834576093. The next prime is 146834576117. The reversal of 146834576100 is 1675438641.

The square root of 146834576100 is 383190.

It is a perfect power (a square), and thus also a powerful number.

146834576100 is a `hidden beast` number, since 1 + 4 + 68 + 3 + 4 + 576 + 10 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 25997692644 + 120836883456 = 161238^2 + 347616^2 .

It is a super-3 number, since 3×146834576100³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 609271980 + ... + 609272220.

Almost surely, 2^146834576100 is an apocalyptic number.

146834576100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146834576100 is the 383190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146834576100

146834576100 is an abundant number, since it is smaller than the sum of its proper divisors (324212474829).

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

146834576100 is a wasteful number, since it uses less digits than its factorization.

146834576100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 146834576100 in words is "one hundred forty-six billion, eight hundred thirty-four million, five hundred seventy-six thousand, one hundred".