153494880 has 192 divisors, whose sum is σ = 602961408. Its totient is φ = 31887360.

The previous prime is 153494843. The next prime is 153494917. The reversal of 153494880 is 88494351.

It is an interprime number because it is at equal distance from previous prime (153494843) and next prime (153494917).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 34884 + ... + 39036.

It is an arithmetic number, because the mean of its divisors is an integer number (3140424).

Almost surely, 2^153494880 is an apocalyptic number.

153494880 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 153494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301480704).

153494880 is an abundant number, since it is smaller than the sum of its proper divisors (449466528).

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

153494880 is a wasteful number, since it uses less digits than its factorization.

153494880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 153494880 is about 12389.3050652569. The cubic root of 153494880 is about 535.4241606714.

The spelling of 153494880 in words is "one hundred fifty-three million, four hundred ninety-four thousand, eight hundred eighty".