153398112 has 192 divisors, whose sum is σ = 483356160. Its totient is φ = 41693184.

The previous prime is 153398101. The next prime is 153398117. The reversal of 153398112 is 211893351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153398117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2101308 + ... + 2101380.

It is an arithmetic number, because the mean of its divisors is an integer number (2517480).

Almost surely, 2^153398112 is an apocalyptic number.

153398112 is a gapful number since it is divisible by the number (12) 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 153398112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241678080).

153398112 is an abundant number, since it is smaller than the sum of its proper divisors (329958048).

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

153398112 is a wasteful number, since it uses less digits than its factorization.

153398112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 153398112 is about 12385.3991457684. The cubic root of 153398112 is about 535.3116209416.

It can be divided in two parts, 1533 and 98112, that multiplied together give a square (150405696 = 12264²).

The spelling of 153398112 in words is "one hundred fifty-three million, three hundred ninety-eight thousand, one hundred twelve".