153009972 has 30 divisors (see below), whose sum is σ = 399999138. Its totient is φ = 51003216.

The previous prime is 153009931. The next prime is 153009973. The reversal of 153009972 is 279900351.

It can be written as a sum of positive squares in only one way, i.e., 148498596 + 4511376 = 12186^2 + 2124^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153009973) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 235803 + ... + 236450.

Almost surely, 2^153009972 is an apocalyptic number.

153009972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153009972 is an abundant number, since it is smaller than the sum of its proper divisors (246989166).

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

153009972 is a wasteful number, since it uses less digits than its factorization.

153009972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472269 (or 472258 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 153009972 is about 12369.7199644939. The cubic root of 153009972 is about 534.8597437092.

The spelling of 153009972 in words is "one hundred fifty-three million, nine thousand, nine hundred seventy-two".