152497800 has 576 divisors, whose sum is σ = 677040000. Its totient is φ = 30481920.

The previous prime is 152497799. The next prime is 152497817. The reversal of 152497800 is 8794251.

It is a Cunningham number, because it is equal to 12349²-1.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8026191 + ... + 8026209.

Almost surely, 2^152497800 is an apocalyptic number.

152497800 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 152497800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338520000).

152497800 is an abundant number, since it is smaller than the sum of its proper divisors (524542200).

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

152497800 is a wasteful number, since it uses less digits than its factorization.

152497800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 152497800 is about 12348.9999595109. Note that the first 4 decimals coincide. The cubic root of 152497800 is about 534.2622959196.

The spelling of 152497800 in words is "one hundred fifty-two million, four hundred ninety-seven thousand, eight hundred".