153977472 has 192 divisors, whose sum is σ = 501228000. Its totient is φ = 44943360.

The previous prime is 153977471. The next prime is 153977477. The reversal of 153977472 is 274779351.

153977472 is a `hidden beast` number, since 1 + 539 + 77 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (153977471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367279 + ... + 367697.

Almost surely, 2^153977472 is an apocalyptic number.

153977472 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 153977472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250614000).

153977472 is an abundant number, since it is smaller than the sum of its proper divisors (347250528).

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

153977472 is a wasteful number, since it uses less digits than its factorization.

153977472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 464 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 153977472 is about 12408.7659338066. The cubic root of 153977472 is about 535.9847029124.

It can be divided in two parts, 153977 and 472, that added together give a square (154449 = 393²).

The spelling of 153977472 in words is "one hundred fifty-three million, nine hundred seventy-seven thousand, four hundred seventy-two".