153429390 has 80 divisors (see below), whose sum is σ = 414569232. Its totient is φ = 40715136.

The previous prime is 153429383. The next prime is 153429391. The reversal of 153429390 is 93924351.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153429391) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248362 + ... + 248978.

Almost surely, 2^153429390 is an apocalyptic number.

153429390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153429390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207284616).

153429390 is an abundant number, since it is smaller than the sum of its proper divisors (261139842).

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

153429390 is a wasteful number, since it uses less digits than its factorization.

153429390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 153429390 is about 12386.6617778964. The cubic root of 153429390 is about 535.3480019609.

The spelling of 153429390 in words is "one hundred fifty-three million, four hundred twenty-nine thousand, three hundred ninety".