152149200 has 240 divisors, whose sum is σ = 568296960. Its totient is φ = 34076160.

The previous prime is 152149183. The next prime is 152149211. The reversal of 152149200 is 2941251.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495447 + ... + 495753.

It is an arithmetic number, because the mean of its divisors is an integer number (2367904).

Almost surely, 2^152149200 is an apocalyptic number.

152149200 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 152149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284148480).

152149200 is an abundant number, since it is smaller than the sum of its proper divisors (416147760).

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

152149200 is a wasteful number, since it uses less digits than its factorization.

152149200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 152149200 is about 12334.8773808255. The cubic root of 152149200 is about 533.8548891010.

It can be divided in two parts, 1521 and 49200, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 152149200 in words is "one hundred fifty-two million, one hundred forty-nine thousand, two hundred".