151378200 has 288 divisors, whose sum is σ = 559599600. Its totient is φ = 37601280.

The previous prime is 151378193. The next prime is 151378207. The reversal of 151378200 is 2873151.

It is an interprime number because it is at equal distance from previous prime (151378193) and next prime (151378207).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151378207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1560552 + ... + 1560648.

Almost surely, 2^151378200 is an apocalyptic number.

151378200 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 151378200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279799800).

151378200 is an abundant number, since it is smaller than the sum of its proper divisors (408221400).

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

151378200 is a wasteful number, since it uses less digits than its factorization.

151378200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 151378200 is about 12303.5848434511. The cubic root of 151378200 is about 532.9516105352.

The spelling of 151378200 in words is "one hundred fifty-one million, three hundred seventy-eight thousand, two hundred".