153201972 has 72 divisors (see below), whose sum is σ = 449084608. Its totient is φ = 39790080.

The previous prime is 153201947. The next prime is 153202009. The reversal of 153201972 is 279102351.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2628 + ... + 17700.

Almost surely, 2^153201972 is an apocalyptic number.

153201972 is a gapful number since it is divisible by the number (12) 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 153201972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224542304).

153201972 is an abundant number, since it is smaller than the sum of its proper divisors (295882636).

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

153201972 is a wasteful number, since it uses less digits than its factorization.

153201972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15109 (or 15096 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 153201972 is about 12377.4784184825. The cubic root of 153201972 is about 535.0833677985.

The spelling of 153201972 in words is "one hundred fifty-three million, two hundred one thousand, nine hundred seventy-two".