151114557440 has 864 divisors, whose sum is σ = 491740048800. Its totient is φ = 44281036800.

The previous prime is 151114557431. The next prime is 151114557457. The reversal of 151114557440 is 44755411151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 151114557394 and 151114557403.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1153546175 + ... + 1153546305.

It is an arithmetic number, because the mean of its divisors is an integer number (569143575).

Almost surely, 2^151114557440 is an apocalyptic number.

151114557440 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 151114557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245870024400).

151114557440 is an abundant number, since it is smaller than the sum of its proper divisors (340625491360).

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

151114557440 is a wasteful number, since it uses less digits than its factorization.

151114557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 38.

Adding to 151114557440 its reverse (44755411151), we get a palindrome (195869968591).

The spelling of 151114557440 in words is "one hundred fifty-one billion, one hundred fourteen million, five hundred fifty-seven thousand, four hundred forty".