153479340 has 192 divisors, whose sum is σ = 574694400. Its totient is φ = 33219072.

The previous prime is 153479323. The next prime is 153479353. The reversal of 153479340 is 43974351.

153479340 is a `hidden beast` number, since 153 + 479 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153479295 and 153479304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70752 + ... + 72888.

It is an arithmetic number, because the mean of its divisors is an integer number (2993200).

Almost surely, 2^153479340 is an apocalyptic number.

153479340 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 153479340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287347200).

153479340 is an abundant number, since it is smaller than the sum of its proper divisors (421215060).

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

153479340 is a wasteful number, since it uses less digits than its factorization.

153479340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 153479340 is about 12388.6778955625. The cubic root of 153479340 is about 535.4060910735.

The spelling of 153479340 in words is "one hundred fifty-three million, four hundred seventy-nine thousand, three hundred forty".