151923200 has 240 divisors, whose sum is σ = 447533856. Its totient is φ = 50380800.

The previous prime is 151923197. The next prime is 151923209. The reversal of 151923200 is 2329151.

It is a super-3 number, since 3×151923200³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (151923209) 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, 1830359 + ... + 1830441.

Almost surely, 2^151923200 is an apocalyptic number.

151923200 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 151923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223766928).

151923200 is an abundant number, since it is smaller than the sum of its proper divisors (295610656).

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

151923200 is a wasteful number, since it uses less digits than its factorization.

151923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 151923200 is about 12325.7129611232. The cubic root of 151923200 is about 533.5904315990.

The spelling of 151923200 in words is "one hundred fifty-one million, nine hundred twenty-three thousand, two hundred".