153772480 has 112 divisors (see below), whose sum is σ = 404896320. Its totient is φ = 55328768.

The previous prime is 153772477. The next prime is 153772483. The reversal of 153772480 is 84277351.

It is an interprime number because it is at equal distance from previous prime (153772477) and next prime (153772483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153772483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124506 + ... + 125734.

Almost surely, 2^153772480 is an apocalyptic number.

153772480 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 153772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202448160).

153772480 is an abundant number, since it is smaller than the sum of its proper divisors (251123840).

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

153772480 is a wasteful number, since it uses less digits than its factorization.

153772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 153772480 is about 12400.5032155957. The cubic root of 153772480 is about 535.7467430578.

The spelling of 153772480 in words is "one hundred fifty-three million, seven hundred seventy-two thousand, four hundred eighty".