151263200 has 72 divisors (see below), whose sum is σ = 402864840. Its totient is φ = 55001600.

The previous prime is 151263191. The next prime is 151263221. The reversal of 151263200 is 2362151.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206 + ... + 17394.

It is an arithmetic number, because the mean of its divisors is an integer number (5595345).

Almost surely, 2^151263200 is an apocalyptic number.

151263200 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 151263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201432420).

151263200 is an abundant number, since it is smaller than the sum of its proper divisors (251601640).

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

151263200 is a wasteful number, since it uses less digits than its factorization.

151263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17220 (or 17207 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 151263200 is about 12298.9105208551. The cubic root of 151263200 is about 532.8166176013.

It can be divided in two parts, 1512 and 63200, that multiplied together give a triangular number (95558400 = T₁₃₈₂₄).

The spelling of 151263200 in words is "one hundred fifty-one million, two hundred sixty-three thousand, two hundred".