153493340 has 288 divisors, whose sum is σ = 472977792. Its totient is φ = 40550400.

The previous prime is 153493313. The next prime is 153493367. The reversal of 153493340 is 43394351.

153493340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (153493313) and next prime (153493367).

It is a junction number, because it is equal to n+sod(n) for n = 153493297 and 153493306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3743720 + ... + 3743760.

It is an arithmetic number, because the mean of its divisors is an integer number (1642284).

Almost surely, 2^153493340 is an apocalyptic number.

153493340 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 153493340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236488896).

153493340 is an abundant number, since it is smaller than the sum of its proper divisors (319484452).

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

153493340 is a wasteful number, since it uses less digits than its factorization.

153493340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 153493340 is about 12389.2429147224. The cubic root of 153493340 is about 535.4223700449.

The spelling of 153493340 in words is "one hundred fifty-three million, four hundred ninety-three thousand, three hundred forty".