149838668100 has 1215 divisors, whose sum is σ = 592871060551. Its totient is φ = 32701363200.

The previous prime is 149838668039. The next prime is 149838668159. The reversal of 149838668100 is 1866838941.

The square root of 149838668100 is 387090.

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

149838668100 is a `hidden beast` number, since 1 + 498 + 3 + 86 + 68 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3504876804 + 146333791296 = 59202^2 + 382536^2 .

It is a super-2 number, since 2×149838668100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 6514724689 + ... + 6514724711.

Almost surely, 2^149838668100 is an apocalyptic number.

149838668100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149838668100 is the 387090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149838668100

149838668100 is an abundant number, since it is smaller than the sum of its proper divisors (443032392451).

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

149838668100 is a wasteful number, since it uses less digits than its factorization.

149838668100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 149838668100 in words is "one hundred forty-nine billion, eight hundred thirty-eight million, six hundred sixty-eight thousand, one hundred".