151795840 has 128 divisors (see below), whose sum is σ = 428497920. Its totient is φ = 50319360.

The previous prime is 151795811. The next prime is 151795859. The reversal of 151795840 is 48597151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 151795793 and 151795802.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138334 + ... + 139426.

It is an arithmetic number, because the mean of its divisors is an integer number (3347640).

Almost surely, 2^151795840 is an apocalyptic number.

151795840 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 151795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214248960).

151795840 is an abundant number, since it is smaller than the sum of its proper divisors (276702080).

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

151795840 is a wasteful number, since it uses less digits than its factorization.

151795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 40.

The square root of 151795840 is about 12320.5454424713. The cubic root of 151795840 is about 533.4412837042.

The spelling of 151795840 in words is "one hundred fifty-one million, seven hundred ninety-five thousand, eight hundred forty".