153481440 has 192 divisors, whose sum is σ = 585252864. Its totient is φ = 33005568.

The previous prime is 153481421. The next prime is 153481453. The reversal of 153481440 is 44184351.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 153481398 and 153481407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55777 + ... + 58463.

It is an arithmetic number, because the mean of its divisors is an integer number (3048192).

Almost surely, 2^153481440 is an apocalyptic number.

153481440 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 153481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292626432).

153481440 is an abundant number, since it is smaller than the sum of its proper divisors (431771424).

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

153481440 is a wasteful number, since it uses less digits than its factorization.

153481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 153481440 is about 12388.7626500793. The cubic root of 153481440 is about 535.4085329823.

The spelling of 153481440 in words is "one hundred fifty-three million, four hundred eighty-one thousand, four hundred forty".