152600153472 has 960 divisors, whose sum is σ = 536640033600. Its totient is φ = 42854842368.

The previous prime is 152600153423. The next prime is 152600153479. The reversal of 152600153472 is 274351006251.

152600153472 is a `hidden beast` number, since 1 + 5 + 2 + 600 + 1 + 5 + 3 + 47 + 2 = 666.

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 (152600153479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1400001354 + ... + 1400001462.

It is an arithmetic number, because the mean of its divisors is an integer number (559000035).

Almost surely, 2^152600153472 is an apocalyptic number.

152600153472 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 152600153472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268320016800).

152600153472 is an abundant number, since it is smaller than the sum of its proper divisors (384039880128).

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

152600153472 is a wasteful number, since it uses less digits than its factorization.

152600153472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 152600153472 in words is "one hundred fifty-two billion, six hundred million, one hundred fifty-three thousand, four hundred seventy-two".