151002400 has 36 divisors (see below), whose sum is σ = 368636562. Its totient is φ = 60400640.

The previous prime is 151002377. The next prime is 151002403. The reversal of 151002400 is 4200151.

It can be written as a sum of positive squares in 3 ways, for example, as 116380944 + 34621456 = 10788^2 + 5884^2 .

It is not an unprimeable number, because it can be changed into a prime (151002403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 93577 + ... + 95176.

Almost surely, 2^151002400 is an apocalyptic number.

151002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151002400 is an abundant number, since it is smaller than the sum of its proper divisors (217634162).

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

151002400 is a wasteful number, since it uses less digits than its factorization.

151002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188773 (or 188760 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 151002400 is about 12288.3033816715. The cubic root of 151002400 is about 532.5102233778.

Adding to 151002400 its reverse (4200151), we get a palindrome (155202551).

The spelling of 151002400 in words is "one hundred fifty-one million, two thousand, four hundred".