152073600 has 384 divisors, whose sum is σ = 599009280. Its totient is φ = 33177600.

The previous prime is 152073599. The next prime is 152073613. The reversal of 152073600 is 6370251.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2083164 + ... + 2083236.

It is an arithmetic number, because the mean of its divisors is an integer number (1559920).

Almost surely, 2^152073600 is an apocalyptic number.

152073600 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 152073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299504640).

152073600 is an abundant number, since it is smaller than the sum of its proper divisors (446935680).

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

152073600 is a wasteful number, since it uses less digits than its factorization.

152073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 152073600 is about 12331.8125188473. The cubic root of 152073600 is about 533.7664537230.

The spelling of 152073600 in words is "one hundred fifty-two million, seventy-three thousand, six hundred".