151776540 has 144 divisors (see below), whose sum is σ = 489093696. Its totient is φ = 38016000.

The previous prime is 151776523. The next prime is 151776587. The reversal of 151776540 is 45677151.

151776540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151776540² = 46072236188743200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151776495 and 151776504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252240 + ... + 252840.

It is an arithmetic number, because the mean of its divisors is an integer number (3396484).

Almost surely, 2^151776540 is an apocalyptic number.

151776540 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 151776540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244546848).

151776540 is an abundant number, since it is smaller than the sum of its proper divisors (337317156).

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

151776540 is a wasteful number, since it uses less digits than its factorization.

151776540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 151776540 is about 12319.7621730292. The cubic root of 151776540 is about 533.4186747114.

The spelling of 151776540 in words is "one hundred fifty-one million, seven hundred seventy-six thousand, five hundred forty".