151693440 has 192 divisors, whose sum is σ = 506148480. Its totient is φ = 38625280.

The previous prime is 151693429. The next prime is 151693453. The reversal of 151693440 is 44396151.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3227497 + ... + 3227543.

It is an arithmetic number, because the mean of its divisors is an integer number (2636190).

Almost surely, 2^151693440 is an apocalyptic number.

151693440 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 151693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253074240).

151693440 is an abundant number, since it is smaller than the sum of its proper divisors (354455040).

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

151693440 is an equidigital number, since it uses as much as digits as its factorization.

151693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 151693440 is about 12316.3890812202. The cubic root of 151693440 is about 533.3213052843.

It can be divided in two parts, 15 and 1693440, that multiplied together give a square (25401600 = 5040²).

The spelling of 151693440 in words is "one hundred fifty-one million, six hundred ninety-three thousand, four hundred forty".