151961040 has 240 divisors, whose sum is σ = 636494976. Its totient is φ = 31564800.

The previous prime is 151961027. The next prime is 151961053. The reversal of 151961040 is 40169151.

151961040 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 610 + 40 = 666.

151961040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151961027) and next prime (151961053).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 151960995 and 151961013.

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, 54070 + ... + 56810.

Almost surely, 2^151961040 is an apocalyptic number.

151961040 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 151961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318247488).

151961040 is an abundant number, since it is smaller than the sum of its proper divisors (484533936).

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

151961040 is a wasteful number, since it uses less digits than its factorization.

151961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 151961040 is about 12327.2478680361. The cubic root of 151961040 is about 533.6347289498.

It can be divided in two parts, 151 and 961040, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 151961040 in words is "one hundred fifty-one million, nine hundred sixty-one thousand, forty".