153700 has 36 divisors (see below), whose sum is σ = 351540. Its totient is φ = 58240.

The previous prime is 153689. The next prime is 153701. The reversal of 153700 is 7351.

Added to its reverse (7351) it gives a 5-th power (161051 = 11⁵).

It can be written as a sum of positive squares in 6 ways, for example, as 36 + 153664 = 6^2 + 392^2 .

It is not an unprimeable number, because it can be changed into a prime (153701) by changing a digit.

153700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2874 + ... + 2926.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2¹⁵³⁷⁰⁰ is an apocalyptic number.

153700 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 153700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175770).

153700 is an abundant number, since it is smaller than the sum of its proper divisors (197840).

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

153700 is a wasteful number, since it uses less digits than its factorization.

153700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 153700 is about 392.0459156783. The cubic root of 153700 is about 53.5662555852.

Adding to 153700 its reverse (7351), we get a 5-th power (161051 = 11⁵).

The spelling of 153700 in words is "one hundred fifty-three thousand, seven hundred".