153472000 has 176 divisors, whose sum is σ = 421518240. Its totient is φ = 55296000.

The previous prime is 153471991. The next prime is 153472001. The reversal of 153472000 is 274351.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (153472001) 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, 1407946 + ... + 1408054.

It is an arithmetic number, because the mean of its divisors is an integer number (2394990).

Almost surely, 2^153472000 is an apocalyptic number.

153472000 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 153472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210759120).

153472000 is an abundant number, since it is smaller than the sum of its proper divisors (268046240).

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

153472000 is a wasteful number, since it uses less digits than its factorization.

153472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 153472000 is about 12388.3816537916. The cubic root of 153472000 is about 535.3975558458.

The spelling of 153472000 in words is "one hundred fifty-three million, four hundred seventy-two thousand".