153242100 has 216 divisors, whose sum is σ = 547589952. Its totient is φ = 35481600.

The previous prime is 153242093. The next prime is 153242101. The reversal of 153242100 is 1242351.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153242101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227364 + ... + 228036.

Almost surely, 2^153242100 is an apocalyptic number.

153242100 is a gapful number since it is divisible by the number (10) 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 153242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273794976).

153242100 is an abundant number, since it is smaller than the sum of its proper divisors (394347852).

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

153242100 is a wasteful number, since it uses less digits than its factorization.

153242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 153242100 is about 12379.0993210330. The cubic root of 153242100 is about 535.1300816249.

Adding to 153242100 its reverse (1242351), we get a palindrome (154484451).

It can be divided in two parts, 15324 and 2100, that added together give a square (17424 = 132²).

The spelling of 153242100 in words is "one hundred fifty-three million, two hundred forty-two thousand, one hundred".