151361760 has 192 divisors, whose sum is σ = 526901760. Its totient is φ = 36218880.

The previous prime is 151361753. The next prime is 151361767. The reversal of 151361760 is 67163151.

It is an interprime number because it is at equal distance from previous prime (151361753) and next prime (151361767).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151361767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575389 + ... + 575651.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2^151361760 is an apocalyptic number.

151361760 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 151361760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

151361760 is an abundant number, since it is smaller than the sum of its proper divisors (375540000).

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

151361760 is a wasteful number, since it uses less digits than its factorization.

151361760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 151361760 is about 12302.9167273456. The cubic root of 151361760 is about 532.9323166041.

The spelling of 151361760 in words is "one hundred fifty-one million, three hundred sixty-one thousand, seven hundred sixty".